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Finding the Fourth Proportional to 356,114.60, 533,912.70 and 145,644.20

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Solution

The fourth proportional to 356,114.60, 533,912.70 and 145,644.20 is: 218,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,114.60 : 533,912.70 = 145,644.20 : x
  2. Step 2: Convert to fraction form
    356,114.60/533,912.70 = 145,644.20/x
  3. Step 3: Cross multiply
    356,114.60x = 533,912.70 × 145,644.20
  4. Step 4: Simplify right side
    356,114.60x = 77,761,288,061.34
  5. Step 5: Solve for x
    x = 77,761,288,061.34/356,114.60
  6. Step 6: Final answer
    x = 218,360.29

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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.