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Finding the Fourth Proportional to 408,266.48, 612,423.55 and 123,966.30

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Solution

The fourth proportional to 408,266.48, 612,423.55 and 123,966.30 is: 185,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,266.48 : 612,423.55 = 123,966.30 : x
  2. Step 2: Convert to fraction form
    408,266.48/612,423.55 = 123,966.30/x
  3. Step 3: Cross multiply
    408,266.48x = 612,423.55 × 123,966.30
  4. Step 4: Simplify right side
    408,266.48x = 75,919,881,526.37
  5. Step 5: Solve for x
    x = 75,919,881,526.37/408,266.48
  6. Step 6: Final answer
    x = 185,956.69

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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.