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Finding the Fourth Proportional to 152,405.20, 228,607.80 and 149,489.20

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Solution

The fourth proportional to 152,405.20, 228,607.80 and 149,489.20 is: 224,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.20 : 228,607.80 = 149,489.20 : x
  2. Step 2: Convert to fraction form
    152,405.20/228,607.80 = 149,489.20/x
  3. Step 3: Cross multiply
    152,405.20x = 228,607.80 × 149,489.20
  4. Step 4: Simplify right side
    152,405.20x = 34,174,397,135.76
  5. Step 5: Solve for x
    x = 34,174,397,135.76/152,405.20
  6. Step 6: Final answer
    x = 224,233.80

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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.