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Finding the Fourth Proportional to 665,475,781.86, 998,304,469.74 and 277,207,810.77

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Solution

The fourth proportional to 665,475,781.86, 998,304,469.74 and 277,207,810.77 is: 415,849,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,475,781.86 : 998,304,469.74 = 277,207,810.77 : x
  2. Step 2: Convert to fraction form
    665,475,781.86/998,304,469.74 = 277,207,810.77/x
  3. Step 3: Cross multiply
    665,475,781.86x = 998,304,469.74 × 277,207,810.77
  4. Step 4: Simplify right side
    665,475,781.86x = 276,737,796,536,654,304
  5. Step 5: Solve for x
    x = 276,737,796,536,654,304/665,475,781.86
  6. Step 6: Final answer
    x = 415,849,538.15

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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.