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Finding the Fourth Proportional to 515,807,998.80, 773,711,998.20 and 413,771,326.80

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Solution

The fourth proportional to 515,807,998.80, 773,711,998.20 and 413,771,326.80 is: 620,656,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,807,998.80 : 773,711,998.20 = 413,771,326.80 : x
  2. Step 2: Convert to fraction form
    515,807,998.80/773,711,998.20 = 413,771,326.80/x
  3. Step 3: Cross multiply
    515,807,998.80x = 773,711,998.20 × 413,771,326.80
  4. Step 4: Simplify right side
    515,807,998.80x = 320,139,840,056,293,248
  5. Step 5: Solve for x
    x = 320,139,840,056,293,248/515,807,998.80
  6. Step 6: Final answer
    x = 620,656,990.20

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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.