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Finding the Fourth Proportional to 518,115.28, 714,919.88 and 291,754.96

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Solution

The fourth proportional to 518,115.28, 714,919.88 and 291,754.96 is: 402,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,115.28 : 714,919.88 = 291,754.96 : x
  2. Step 2: Convert to fraction form
    518,115.28/714,919.88 = 291,754.96/x
  3. Step 3: Cross multiply
    518,115.28x = 714,919.88 × 291,754.96
  4. Step 4: Simplify right side
    518,115.28x = 208,581,420,992.61
  5. Step 5: Solve for x
    x = 208,581,420,992.61/518,115.28
  6. Step 6: Final answer
    x = 402,577.24

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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.