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Finding the Fourth Proportional to 478,438.74, 717,661.25 and 123,455.84

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Solution

The fourth proportional to 478,438.74, 717,661.25 and 123,455.84 is: 185,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,438.74 : 717,661.25 = 123,455.84 : x
  2. Step 2: Convert to fraction form
    478,438.74/717,661.25 = 123,455.84/x
  3. Step 3: Cross multiply
    478,438.74x = 717,661.25 × 123,455.84
  4. Step 4: Simplify right side
    478,438.74x = 88,599,468,248.61
  5. Step 5: Solve for x
    x = 88,599,468,248.61/478,438.74
  6. Step 6: Final answer
    x = 185,184.56

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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.