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Finding the Fourth Proportional to 727,466,978.52, 1,003,904,832.33 and 392,939,498.88

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Solution

The fourth proportional to 727,466,978.52, 1,003,904,832.33 and 392,939,498.88 is: 542,256,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,466,978.52 : 1,003,904,832.33 = 392,939,498.88 : x
  2. Step 2: Convert to fraction form
    727,466,978.52/1,003,904,832.33 = 392,939,498.88/x
  3. Step 3: Cross multiply
    727,466,978.52x = 1,003,904,832.33 × 392,939,498.88
  4. Step 4: Simplify right side
    727,466,978.52x = 394,473,861,738,960,640
  5. Step 5: Solve for x
    x = 394,473,861,738,960,640/727,466,978.52
  6. Step 6: Final answer
    x = 542,256,725.58

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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.