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Finding the Fourth Proportional to 424,098,908.80, 636,148,363.20 and 343,477,340.80

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Solution

The fourth proportional to 424,098,908.80, 636,148,363.20 and 343,477,340.80 is: 515,216,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098,908.80 : 636,148,363.20 = 343,477,340.80 : x
  2. Step 2: Convert to fraction form
    424,098,908.80/636,148,363.20 = 343,477,340.80/x
  3. Step 3: Cross multiply
    424,098,908.80x = 636,148,363.20 × 343,477,340.80
  4. Step 4: Simplify right side
    424,098,908.80x = 218,502,548,146,208,608
  5. Step 5: Solve for x
    x = 218,502,548,146,208,608/424,098,908.80
  6. Step 6: Final answer
    x = 515,216,011.20

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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.