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Finding the Fourth Proportional to 516,916.62, 713,345.36 and 287,468.91

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Solution

The fourth proportional to 516,916.62, 713,345.36 and 287,468.91 is: 396,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,916.62 : 713,345.36 = 287,468.91 : x
  2. Step 2: Convert to fraction form
    516,916.62/713,345.36 = 287,468.91/x
  3. Step 3: Cross multiply
    516,916.62x = 713,345.36 × 287,468.91
  4. Step 4: Simplify right side
    516,916.62x = 205,064,611,655.41
  5. Step 5: Solve for x
    x = 205,064,611,655.41/516,916.62
  6. Step 6: Final answer
    x = 396,707.33

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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.