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Finding the Fourth Proportional to 750,789,909, 1,126,833,221.52 and 520,920,418.86

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Solution

The fourth proportional to 750,789,909, 1,126,833,221.52 and 520,920,418.86 is: 781,830,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,789,909 : 1,126,833,221.52 = 520,920,418.86 : x
  2. Step 2: Convert to fraction form
    750,789,909/1,126,833,221.52 = 520,920,418.86/x
  3. Step 3: Cross multiply
    750,789,909x = 1,126,833,221.52 × 520,920,418.86
  4. Step 4: Simplify right side
    750,789,909x = 586,990,433,739,561,600
  5. Step 5: Solve for x
    x = 586,990,433,739,561,600/750,789,909
  6. Step 6: Final answer
    x = 781,830,478.41

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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.