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Finding the Fourth Proportional to 485,309.64, 727,520.94 and 410,909.16

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Solution

The fourth proportional to 485,309.64, 727,520.94 and 410,909.16 is: 615,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,309.64 : 727,520.94 = 410,909.16 : x
  2. Step 2: Convert to fraction form
    485,309.64/727,520.94 = 410,909.16/x
  3. Step 3: Cross multiply
    485,309.64x = 727,520.94 × 410,909.16
  4. Step 4: Simplify right side
    485,309.64x = 298,945,018,337.81
  5. Step 5: Solve for x
    x = 298,945,018,337.81/485,309.64
  6. Step 6: Final answer
    x = 615,988.21

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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.