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Finding the Fourth Proportional to 421,497.90, 631,951.20 and 155,223.90

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Solution

The fourth proportional to 421,497.90, 631,951.20 and 155,223.90 is: 232,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,497.90 : 631,951.20 = 155,223.90 : x
  2. Step 2: Convert to fraction form
    421,497.90/631,951.20 = 155,223.90/x
  3. Step 3: Cross multiply
    421,497.90x = 631,951.20 × 155,223.90
  4. Step 4: Simplify right side
    421,497.90x = 98,093,929,873.68
  5. Step 5: Solve for x
    x = 98,093,929,873.68/421,497.90
  6. Step 6: Final answer
    x = 232,726.97

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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.