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Finding the Fourth Proportional to 915,691, 1,263,731.50 and 513,360.76

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Solution

The fourth proportional to 915,691, 1,263,731.50 and 513,360.76 is: 708,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,691 : 1,263,731.50 = 513,360.76 : x
  2. Step 2: Convert to fraction form
    915,691/1,263,731.50 = 513,360.76/x
  3. Step 3: Cross multiply
    915,691x = 1,263,731.50 × 513,360.76
  4. Step 4: Simplify right side
    915,691x = 648,750,163,275.94
  5. Step 5: Solve for x
    x = 648,750,163,275.94/915,691
  6. Step 6: Final answer
    x = 708,481.53

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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.