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Finding the Fourth Proportional to 865,718.10, 1,298,577.15 and 706,285.80

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Solution

The fourth proportional to 865,718.10, 1,298,577.15 and 706,285.80 is: 1,059,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,718.10 : 1,298,577.15 = 706,285.80 : x
  2. Step 2: Convert to fraction form
    865,718.10/1,298,577.15 = 706,285.80/x
  3. Step 3: Cross multiply
    865,718.10x = 1,298,577.15 × 706,285.80
  4. Step 4: Simplify right side
    865,718.10x = 917,166,601,249.47
  5. Step 5: Solve for x
    x = 917,166,601,249.47/865,718.10
  6. Step 6: Final answer
    x = 1,059,428.70

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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.