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Finding the Fourth Proportional to 711,861.92, 982,217.54 and 421,564.70

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Solution

The fourth proportional to 711,861.92, 982,217.54 and 421,564.70 is: 581,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,861.92 : 982,217.54 = 421,564.70 : x
  2. Step 2: Convert to fraction form
    711,861.92/982,217.54 = 421,564.70/x
  3. Step 3: Cross multiply
    711,861.92x = 982,217.54 × 421,564.70
  4. Step 4: Simplify right side
    711,861.92x = 414,068,246,094.29
  5. Step 5: Solve for x
    x = 414,068,246,094.29/711,861.92
  6. Step 6: Final answer
    x = 581,669.33

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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.