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Finding the Fourth Proportional to 865,610.70, 1,298,416.05 and 824,276.40

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Solution

The fourth proportional to 865,610.70, 1,298,416.05 and 824,276.40 is: 1,236,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,610.70 : 1,298,416.05 = 824,276.40 : x
  2. Step 2: Convert to fraction form
    865,610.70/1,298,416.05 = 824,276.40/x
  3. Step 3: Cross multiply
    865,610.70x = 1,298,416.05 × 824,276.40
  4. Step 4: Simplify right side
    865,610.70x = 1,070,253,707,396.22
  5. Step 5: Solve for x
    x = 1,070,253,707,396.22/865,610.70
  6. Step 6: Final answer
    x = 1,236,414.60

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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.