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Finding the Fourth Proportional to 421,135.31, 631,323.89 and 154,838.90

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Solution

The fourth proportional to 421,135.31, 631,323.89 and 154,838.90 is: 232,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,135.31 : 631,323.89 = 154,838.90 : x
  2. Step 2: Convert to fraction form
    421,135.31/631,323.89 = 154,838.90/x
  3. Step 3: Cross multiply
    421,135.31x = 631,323.89 × 154,838.90
  4. Step 4: Simplify right side
    421,135.31x = 97,753,498,056.08
  5. Step 5: Solve for x
    x = 97,753,498,056.08/421,135.31
  6. Step 6: Final answer
    x = 232,118.98

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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.