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Finding the Fourth Proportional to 421,207.92, 631,432.56 and 154,911.48

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Solution

The fourth proportional to 421,207.92, 631,432.56 and 154,911.48 is: 232,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,207.92 : 631,432.56 = 154,911.48 : x
  2. Step 2: Convert to fraction form
    421,207.92/631,432.56 = 154,911.48/x
  3. Step 3: Cross multiply
    421,207.92x = 631,432.56 × 154,911.48
  4. Step 4: Simplify right side
    421,207.92x = 97,816,152,389.79
  5. Step 5: Solve for x
    x = 97,816,152,389.79/421,207.92
  6. Step 6: Final answer
    x = 232,227.71

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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.