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Finding the Fourth Proportional to 410,149.80, 615,224.70 and 259,902.90

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Solution

The fourth proportional to 410,149.80, 615,224.70 and 259,902.90 is: 389,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,149.80 : 615,224.70 = 259,902.90 : x
  2. Step 2: Convert to fraction form
    410,149.80/615,224.70 = 259,902.90/x
  3. Step 3: Cross multiply
    410,149.80x = 615,224.70 × 259,902.90
  4. Step 4: Simplify right side
    410,149.80x = 159,898,683,681.63
  5. Step 5: Solve for x
    x = 159,898,683,681.63/410,149.80
  6. Step 6: Final answer
    x = 389,854.35

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1.5x scale

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.