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Finding the Fourth Proportional to 413,980, 571,308.59 and 232,691.38

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Solution

The fourth proportional to 413,980, 571,308.59 and 232,691.38 is: 321,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,980 : 571,308.59 = 232,691.38 : x
  2. Step 2: Convert to fraction form
    413,980/571,308.59 = 232,691.38/x
  3. Step 3: Cross multiply
    413,980x = 571,308.59 × 232,691.38
  4. Step 4: Simplify right side
    413,980x = 132,938,584,212.95
  5. Step 5: Solve for x
    x = 132,938,584,212.95/413,980
  6. Step 6: Final answer
    x = 321,123.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.