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Finding the Fourth Proportional to 432,342.92, 649,498.50 and 312,768.69

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Solution

The fourth proportional to 432,342.92, 649,498.50 and 312,768.69 is: 469,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,342.92 : 649,498.50 = 312,768.69 : x
  2. Step 2: Convert to fraction form
    432,342.92/649,498.50 = 312,768.69/x
  3. Step 3: Cross multiply
    432,342.92x = 649,498.50 × 312,768.69
  4. Step 4: Simplify right side
    432,342.92x = 203,142,795,001.97
  5. Step 5: Solve for x
    x = 203,142,795,001.97/432,342.92
  6. Step 6: Final answer
    x = 469,864.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.