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Finding the Fourth Proportional to 478,431.16, 717,397.63 and 225,643.79

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Solution

The fourth proportional to 478,431.16, 717,397.63 and 225,643.79 is: 338,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,431.16 : 717,397.63 = 225,643.79 : x
  2. Step 2: Convert to fraction form
    478,431.16/717,397.63 = 225,643.79/x
  3. Step 3: Cross multiply
    478,431.16x = 717,397.63 × 225,643.79
  4. Step 4: Simplify right side
    478,431.16x = 161,876,321,399.60
  5. Step 5: Solve for x
    x = 161,876,321,399.60/478,431.16
  6. Step 6: Final answer
    x = 338,348.20

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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.