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Finding the Fourth Proportional to 388,470,872.22, 582,706,304.01 and 215,865,133.98

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Solution

The fourth proportional to 388,470,872.22, 582,706,304.01 and 215,865,133.98 is: 323,797,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,470,872.22 : 582,706,304.01 = 215,865,133.98 : x
  2. Step 2: Convert to fraction form
    388,470,872.22/582,706,304.01 = 215,865,133.98/x
  3. Step 3: Cross multiply
    388,470,872.22x = 582,706,304.01 × 215,865,133.98
  4. Step 4: Simplify right side
    388,470,872.22x = 125,785,974,386,109,248
  5. Step 5: Solve for x
    x = 125,785,974,386,109,248/388,470,872.22
  6. Step 6: Final answer
    x = 323,797,698.57

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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.