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Finding the Fourth Proportional to 478,320.32, 717,382.56 and 178,745.60

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Solution

The fourth proportional to 478,320.32, 717,382.56 and 178,745.60 is: 268,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,320.32 : 717,382.56 = 178,745.60 : x
  2. Step 2: Convert to fraction form
    478,320.32/717,382.56 = 178,745.60/x
  3. Step 3: Cross multiply
    478,320.32x = 717,382.56 × 178,745.60
  4. Step 4: Simplify right side
    478,320.32x = 128,228,976,116.74
  5. Step 5: Solve for x
    x = 128,228,976,116.74/478,320.32
  6. Step 6: Final answer
    x = 268,081.81

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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.