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Finding the Fourth Proportional to 514,432.16, 709,896.48 and 288,066.08

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Solution

The fourth proportional to 514,432.16, 709,896.48 and 288,066.08 is: 397,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,432.16 : 709,896.48 = 288,066.08 : x
  2. Step 2: Convert to fraction form
    514,432.16/709,896.48 = 288,066.08/x
  3. Step 3: Cross multiply
    514,432.16x = 709,896.48 × 288,066.08
  4. Step 4: Simplify right side
    514,432.16x = 204,497,096,199.40
  5. Step 5: Solve for x
    x = 204,497,096,199.40/514,432.16
  6. Step 6: Final answer
    x = 397,520.05

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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.