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Finding the Fourth Proportional to 355,573.76, 533,361.17 and 145,211.71

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Solution

The fourth proportional to 355,573.76, 533,361.17 and 145,211.71 is: 217,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,573.76 : 533,361.17 = 145,211.71 : x
  2. Step 2: Convert to fraction form
    355,573.76/533,361.17 = 145,211.71/x
  3. Step 3: Cross multiply
    355,573.76x = 533,361.17 × 145,211.71
  4. Step 4: Simplify right side
    355,573.76x = 77,450,287,543.30
  5. Step 5: Solve for x
    x = 77,450,287,543.30/355,573.76
  6. Step 6: Final answer
    x = 217,817.78

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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.