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Finding the Fourth Proportional to 414,418.71, 571,897 and 233,130.78

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Solution

The fourth proportional to 414,418.71, 571,897 and 233,130.78 is: 321,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,418.71 : 571,897 = 233,130.78 : x
  2. Step 2: Convert to fraction form
    414,418.71/571,897 = 233,130.78/x
  3. Step 3: Cross multiply
    414,418.71x = 571,897 × 233,130.78
  4. Step 4: Simplify right side
    414,418.71x = 133,326,793,689.66
  5. Step 5: Solve for x
    x = 133,326,793,689.66/414,418.71
  6. Step 6: Final answer
    x = 321,720.02

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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.