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Finding the Fourth Proportional to 514,128.13, 709,488.16 and 284,680.47

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Solution

The fourth proportional to 514,128.13, 709,488.16 and 284,680.47 is: 392,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,128.13 : 709,488.16 = 284,680.47 : x
  2. Step 2: Convert to fraction form
    514,128.13/709,488.16 = 284,680.47/x
  3. Step 3: Cross multiply
    514,128.13x = 709,488.16 × 284,680.47
  4. Step 4: Simplify right side
    514,128.13x = 201,977,424,797.12
  5. Step 5: Solve for x
    x = 201,977,424,797.12/514,128.13
  6. Step 6: Final answer
    x = 392,854.26

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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.