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Finding the Fourth Proportional to 612,381,659.20, 918,572,488.80 and 224,217,152.80

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Solution

The fourth proportional to 612,381,659.20, 918,572,488.80 and 224,217,152.80 is: 336,325,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,381,659.20 : 918,572,488.80 = 224,217,152.80 : x
  2. Step 2: Convert to fraction form
    612,381,659.20/918,572,488.80 = 224,217,152.80/x
  3. Step 3: Cross multiply
    612,381,659.20x = 918,572,488.80 × 224,217,152.80
  4. Step 4: Simplify right side
    612,381,659.20x = 205,959,708,079,145,888
  5. Step 5: Solve for x
    x = 205,959,708,079,145,888/612,381,659.20
  6. Step 6: Final answer
    x = 336,325,729.20

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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.