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Finding the Fourth Proportional to 571,381, 857,111.10 and 238,957

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Solution

The fourth proportional to 571,381, 857,111.10 and 238,957 is: 358,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,381 : 857,111.10 = 238,957 : x
  2. Step 2: Convert to fraction form
    571,381/857,111.10 = 238,957/x
  3. Step 3: Cross multiply
    571,381x = 857,111.10 × 238,957
  4. Step 4: Simplify right side
    571,381x = 204,812,697,122.70
  5. Step 5: Solve for x
    x = 204,812,697,122.70/571,381
  6. Step 6: Final answer
    x = 358,452.06

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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.