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Finding the Fourth Proportional to 410,957.40, 615,998.70 and 158,140.20

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Solution

The fourth proportional to 410,957.40, 615,998.70 and 158,140.20 is: 237,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,957.40 : 615,998.70 = 158,140.20 : x
  2. Step 2: Convert to fraction form
    410,957.40/615,998.70 = 158,140.20/x
  3. Step 3: Cross multiply
    410,957.40x = 615,998.70 × 158,140.20
  4. Step 4: Simplify right side
    410,957.40x = 97,414,157,617.74
  5. Step 5: Solve for x
    x = 97,414,157,617.74/410,957.40
  6. Step 6: Final answer
    x = 237,041.98

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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.