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Finding the Fourth Proportional to 478,142.39, 717,384.26 and 225,458.81

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Solution

The fourth proportional to 478,142.39, 717,384.26 and 225,458.81 is: 338,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,142.39 : 717,384.26 = 225,458.81 : x
  2. Step 2: Convert to fraction form
    478,142.39/717,384.26 = 225,458.81/x
  3. Step 3: Cross multiply
    478,142.39x = 717,384.26 × 225,458.81
  4. Step 4: Simplify right side
    478,142.39x = 161,740,601,239.25
  5. Step 5: Solve for x
    x = 161,740,601,239.25/478,142.39
  6. Step 6: Final answer
    x = 338,268.69

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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.