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Finding the Fourth Proportional to 487,780,496.91, 731,814,475.85 and 196,497,728.91

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Solution

The fourth proportional to 487,780,496.91, 731,814,475.85 and 196,497,728.91 is: 294,804,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,780,496.91 : 731,814,475.85 = 196,497,728.91 : x
  2. Step 2: Convert to fraction form
    487,780,496.91/731,814,475.85 = 196,497,728.91/x
  3. Step 3: Cross multiply
    487,780,496.91x = 731,814,475.85 × 196,497,728.91
  4. Step 4: Simplify right side
    487,780,496.91x = 143,799,882,487,004,560
  5. Step 5: Solve for x
    x = 143,799,882,487,004,560/487,780,496.91
  6. Step 6: Final answer
    x = 294,804,493.82

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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.