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Finding the Fourth Proportional to 514,483.23, 709,996.64 and 288,128.19

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Solution

The fourth proportional to 514,483.23, 709,996.64 and 288,128.19 is: 397,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,483.23 : 709,996.64 = 288,128.19 : x
  2. Step 2: Convert to fraction form
    514,483.23/709,996.64 = 288,128.19/x
  3. Step 3: Cross multiply
    514,483.23x = 709,996.64 × 288,128.19
  4. Step 4: Simplify right side
    514,483.23x = 204,570,045,348.64
  5. Step 5: Solve for x
    x = 204,570,045,348.64/514,483.23
  6. Step 6: Final answer
    x = 397,622.38

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.