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Finding the Fourth Proportional to 410,147.10, 615,220.65 and 310,501.92

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Solution

The fourth proportional to 410,147.10, 615,220.65 and 310,501.92 is: 465,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.10 : 615,220.65 = 310,501.92 : x
  2. Step 2: Convert to fraction form
    410,147.10/615,220.65 = 310,501.92/x
  3. Step 3: Cross multiply
    410,147.10x = 615,220.65 × 310,501.92
  4. Step 4: Simplify right side
    410,147.10x = 191,027,193,048.65
  5. Step 5: Solve for x
    x = 191,027,193,048.65/410,147.10
  6. Step 6: Final answer
    x = 465,752.88

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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.