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Finding the Fourth Proportional to 423,225.61, 634,836.22 and 149,874.59

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Solution

The fourth proportional to 423,225.61, 634,836.22 and 149,874.59 is: 224,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,225.61 : 634,836.22 = 149,874.59 : x
  2. Step 2: Convert to fraction form
    423,225.61/634,836.22 = 149,874.59/x
  3. Step 3: Cross multiply
    423,225.61x = 634,836.22 × 149,874.59
  4. Step 4: Simplify right side
    423,225.61x = 95,145,819,402.05
  5. Step 5: Solve for x
    x = 95,145,819,402.05/423,225.61
  6. Step 6: Final answer
    x = 224,811.11

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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.