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Finding the Fourth Proportional to 509,730, 703,428.24 and 283,375.50

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Solution

The fourth proportional to 509,730, 703,428.24 and 283,375.50 is: 391,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,730 : 703,428.24 = 283,375.50 : x
  2. Step 2: Convert to fraction form
    509,730/703,428.24 = 283,375.50/x
  3. Step 3: Cross multiply
    509,730x = 703,428.24 × 283,375.50
  4. Step 4: Simplify right side
    509,730x = 199,334,329,224.12
  5. Step 5: Solve for x
    x = 199,334,329,224.12/509,730
  6. Step 6: Final answer
    x = 391,058.66

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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.