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Finding the Fourth Proportional to 427,309,999.20, 640,964,998.80 and 398,644,552.80

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Solution

The fourth proportional to 427,309,999.20, 640,964,998.80 and 398,644,552.80 is: 597,966,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,309,999.20 : 640,964,998.80 = 398,644,552.80 : x
  2. Step 2: Convert to fraction form
    427,309,999.20/640,964,998.80 = 398,644,552.80/x
  3. Step 3: Cross multiply
    427,309,999.20x = 640,964,998.80 × 398,644,552.80
  4. Step 4: Simplify right side
    427,309,999.20x = 255,517,205,307,078,528
  5. Step 5: Solve for x
    x = 255,517,205,307,078,528/427,309,999.20
  6. Step 6: Final answer
    x = 597,966,829.20

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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.