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Finding the Fourth Proportional to 408,097.40, 611,708.70 and 155,280.20

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Solution

The fourth proportional to 408,097.40, 611,708.70 and 155,280.20 is: 232,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,097.40 : 611,708.70 = 155,280.20 : x
  2. Step 2: Convert to fraction form
    408,097.40/611,708.70 = 155,280.20/x
  3. Step 3: Cross multiply
    408,097.40x = 611,708.70 × 155,280.20
  4. Step 4: Simplify right side
    408,097.40x = 94,986,249,277.74
  5. Step 5: Solve for x
    x = 94,986,249,277.74/408,097.40
  6. Step 6: Final answer
    x = 232,753.87

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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.