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Finding the Fourth Proportional to 530,024.50, 731,441.10 and 303,670

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Solution

The fourth proportional to 530,024.50, 731,441.10 and 303,670 is: 419,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,024.50 : 731,441.10 = 303,670 : x
  2. Step 2: Convert to fraction form
    530,024.50/731,441.10 = 303,670/x
  3. Step 3: Cross multiply
    530,024.50x = 731,441.10 × 303,670
  4. Step 4: Simplify right side
    530,024.50x = 222,116,718,837
  5. Step 5: Solve for x
    x = 222,116,718,837/530,024.50
  6. Step 6: Final answer
    x = 419,068.78

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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.