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Finding the Fourth Proportional to 556,657,152.80, 834,985,729.20 and 338,978,919.20

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Solution

The fourth proportional to 556,657,152.80, 834,985,729.20 and 338,978,919.20 is: 508,468,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,657,152.80 : 834,985,729.20 = 338,978,919.20 : x
  2. Step 2: Convert to fraction form
    556,657,152.80/834,985,729.20 = 338,978,919.20/x
  3. Step 3: Cross multiply
    556,657,152.80x = 834,985,729.20 × 338,978,919.20
  4. Step 4: Simplify right side
    556,657,152.80x = 283,042,560,031,639,872
  5. Step 5: Solve for x
    x = 283,042,560,031,639,872/556,657,152.80
  6. Step 6: Final answer
    x = 508,468,378.80

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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.