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Finding the Fourth Proportional to 516,416.52, 712,790.13 and 290,134.92

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Solution

The fourth proportional to 516,416.52, 712,790.13 and 290,134.92 is: 400,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,416.52 : 712,790.13 = 290,134.92 : x
  2. Step 2: Convert to fraction form
    516,416.52/712,790.13 = 290,134.92/x
  3. Step 3: Cross multiply
    516,416.52x = 712,790.13 × 290,134.92
  4. Step 4: Simplify right side
    516,416.52x = 206,805,307,344.34
  5. Step 5: Solve for x
    x = 206,805,307,344.34/516,416.52
  6. Step 6: Final answer
    x = 400,462.22

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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.