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Finding the Fourth Proportional to 522,534, 721,102.68 and 284,070

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Solution

The fourth proportional to 522,534, 721,102.68 and 284,070 is: 392,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,534 : 721,102.68 = 284,070 : x
  2. Step 2: Convert to fraction form
    522,534/721,102.68 = 284,070/x
  3. Step 3: Cross multiply
    522,534x = 721,102.68 × 284,070
  4. Step 4: Simplify right side
    522,534x = 204,843,638,307.60
  5. Step 5: Solve for x
    x = 204,843,638,307.60/522,534
  6. Step 6: Final answer
    x = 392,019.73

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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.