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Finding the Fourth Proportional to 514,430.16, 709,893.72 and 288,064.08

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Solution

The fourth proportional to 514,430.16, 709,893.72 and 288,064.08 is: 397,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,430.16 : 709,893.72 = 288,064.08 : x
  2. Step 2: Convert to fraction form
    514,430.16/709,893.72 = 288,064.08/x
  3. Step 3: Cross multiply
    514,430.16x = 709,893.72 × 288,064.08
  4. Step 4: Simplify right side
    514,430.16x = 204,494,881,349.58
  5. Step 5: Solve for x
    x = 204,494,881,349.58/514,430.16
  6. Step 6: Final answer
    x = 397,517.29

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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.