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Finding the Fourth Proportional to 517,356.38, 713,937.17 and 287,910

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Solution

The fourth proportional to 517,356.38, 713,937.17 and 287,910 is: 397,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,356.38 : 713,937.17 = 287,910 : x
  2. Step 2: Convert to fraction form
    517,356.38/713,937.17 = 287,910/x
  3. Step 3: Cross multiply
    517,356.38x = 713,937.17 × 287,910
  4. Step 4: Simplify right side
    517,356.38x = 205,549,649,175.15
  5. Step 5: Solve for x
    x = 205,549,649,175.15/517,356.38
  6. Step 6: Final answer
    x = 397,307.66

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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.