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Finding the Fourth Proportional to 731,129.76, 1,093,662 and 686,340

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Solution

The fourth proportional to 731,129.76, 1,093,662 and 686,340 is: 1,026,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,129.76 : 1,093,662 = 686,340 : x
  2. Step 2: Convert to fraction form
    731,129.76/1,093,662 = 686,340/x
  3. Step 3: Cross multiply
    731,129.76x = 1,093,662 × 686,340
  4. Step 4: Simplify right side
    731,129.76x = 750,623,977,080
  5. Step 5: Solve for x
    x = 750,623,977,080/731,129.76
  6. Step 6: Final answer
    x = 1,026,663.14

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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.