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Finding the Fourth Proportional to 509,519.88, 703,122.18 and 291,721.32

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Solution

The fourth proportional to 509,519.88, 703,122.18 and 291,721.32 is: 402,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,519.88 : 703,122.18 = 291,721.32 : x
  2. Step 2: Convert to fraction form
    509,519.88/703,122.18 = 291,721.32/x
  3. Step 3: Cross multiply
    509,519.88x = 703,122.18 × 291,721.32
  4. Step 4: Simplify right side
    509,519.88x = 205,115,730,470.88
  5. Step 5: Solve for x
    x = 205,115,730,470.88/509,519.88
  6. Step 6: Final answer
    x = 402,566.69

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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.