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Finding the Fourth Proportional to 408,921.40, 612,215.70 and 362,265.40

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Solution

The fourth proportional to 408,921.40, 612,215.70 and 362,265.40 is: 542,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,921.40 : 612,215.70 = 362,265.40 : x
  2. Step 2: Convert to fraction form
    408,921.40/612,215.70 = 362,265.40/x
  3. Step 3: Cross multiply
    408,921.40x = 612,215.70 × 362,265.40
  4. Step 4: Simplify right side
    408,921.40x = 221,784,565,446.78
  5. Step 5: Solve for x
    x = 221,784,565,446.78/408,921.40
  6. Step 6: Final answer
    x = 542,364.78

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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.