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Finding the Fourth Proportional to 1,000,191,978.59, 1,380,264,930.45 and 560,158,830.59

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Solution

The fourth proportional to 1,000,191,978.59, 1,380,264,930.45 and 560,158,830.59 is: 773,019,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,191,978.59 : 1,380,264,930.45 = 560,158,830.59 : x
  2. Step 2: Convert to fraction form
    1,000,191,978.59/1,380,264,930.45 = 560,158,830.59/x
  3. Step 3: Cross multiply
    1,000,191,978.59x = 1,380,264,930.45 × 560,158,830.59
  4. Step 4: Simplify right side
    1,000,191,978.59x = 773,167,589,338,358,400
  5. Step 5: Solve for x
    x = 773,167,589,338,358,400/1,000,191,978.59
  6. Step 6: Final answer
    x = 773,019,186.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.