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Finding the Fourth Proportional to 522,862.17, 721,520.46 and 293,398.08

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Solution

The fourth proportional to 522,862.17, 721,520.46 and 293,398.08 is: 404,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,862.17 : 721,520.46 = 293,398.08 : x
  2. Step 2: Convert to fraction form
    522,862.17/721,520.46 = 293,398.08/x
  3. Step 3: Cross multiply
    522,862.17x = 721,520.46 × 293,398.08
  4. Step 4: Simplify right side
    522,862.17x = 211,692,717,644.72
  5. Step 5: Solve for x
    x = 211,692,717,644.72/522,862.17
  6. Step 6: Final answer
    x = 404,872.89

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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.