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Finding the Fourth Proportional to 514,378.64, 772,753.80 and 493,121.36

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Solution

The fourth proportional to 514,378.64, 772,753.80 and 493,121.36 is: 740,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,378.64 : 772,753.80 = 493,121.36 : x
  2. Step 2: Convert to fraction form
    514,378.64/772,753.80 = 493,121.36/x
  3. Step 3: Cross multiply
    514,378.64x = 772,753.80 × 493,121.36
  4. Step 4: Simplify right side
    514,378.64x = 381,061,404,801.17
  5. Step 5: Solve for x
    x = 381,061,404,801.17/514,378.64
  6. Step 6: Final answer
    x = 740,818.87

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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.