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Finding the Fourth Proportional to 724,605.76, 999,984.72 and 418,672

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Solution

The fourth proportional to 724,605.76, 999,984.72 and 418,672 is: 577,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,605.76 : 999,984.72 = 418,672 : x
  2. Step 2: Convert to fraction form
    724,605.76/999,984.72 = 418,672/x
  3. Step 3: Cross multiply
    724,605.76x = 999,984.72 × 418,672
  4. Step 4: Simplify right side
    724,605.76x = 418,665,602,691.84
  5. Step 5: Solve for x
    x = 418,665,602,691.84/724,605.76
  6. Step 6: Final answer
    x = 577,783.98

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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.