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Finding the Fourth Proportional to 538,902.40, 808,645.20 and 239,429.20

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Solution

The fourth proportional to 538,902.40, 808,645.20 and 239,429.20 is: 359,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,902.40 : 808,645.20 = 239,429.20 : x
  2. Step 2: Convert to fraction form
    538,902.40/808,645.20 = 239,429.20/x
  3. Step 3: Cross multiply
    538,902.40x = 808,645.20 × 239,429.20
  4. Step 4: Simplify right side
    538,902.40x = 193,613,273,319.84
  5. Step 5: Solve for x
    x = 193,613,273,319.84/538,902.40
  6. Step 6: Final answer
    x = 359,273.36

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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.