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Finding the Fourth Proportional to 516,706.13, 713,078.73 and 287,267.18

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Solution

The fourth proportional to 516,706.13, 713,078.73 and 287,267.18 is: 396,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,706.13 : 713,078.73 = 287,267.18 : x
  2. Step 2: Convert to fraction form
    516,706.13/713,078.73 = 287,267.18/x
  3. Step 3: Cross multiply
    516,706.13x = 713,078.73 × 287,267.18
  4. Step 4: Simplify right side
    516,706.13x = 204,844,115,885.08
  5. Step 5: Solve for x
    x = 204,844,115,885.08/516,706.13
  6. Step 6: Final answer
    x = 396,442.20

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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.