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Finding the Fourth Proportional to 417,699.78, 576,419.40 and 236,446.08

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Solution

The fourth proportional to 417,699.78, 576,419.40 and 236,446.08 is: 326,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,699.78 : 576,419.40 = 236,446.08 : x
  2. Step 2: Convert to fraction form
    417,699.78/576,419.40 = 236,446.08/x
  3. Step 3: Cross multiply
    417,699.78x = 576,419.40 × 236,446.08
  4. Step 4: Simplify right side
    417,699.78x = 136,292,107,565.95
  5. Step 5: Solve for x
    x = 136,292,107,565.95/417,699.78
  6. Step 6: Final answer
    x = 326,292.03

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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.