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Finding the Fourth Proportional to 720,296,943.90, 993,626,348.94 and 438,125,687.82

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Solution

The fourth proportional to 720,296,943.90, 993,626,348.94 and 438,125,687.82 is: 604,380,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,296,943.90 : 993,626,348.94 = 438,125,687.82 : x
  2. Step 2: Convert to fraction form
    720,296,943.90/993,626,348.94 = 438,125,687.82/x
  3. Step 3: Cross multiply
    720,296,943.90x = 993,626,348.94 × 438,125,687.82
  4. Step 4: Simplify right side
    720,296,943.90x = 435,333,227,565,412,864
  5. Step 5: Solve for x
    x = 435,333,227,565,412,864/720,296,943.90
  6. Step 6: Final answer
    x = 604,380,222.98

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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.