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Finding the Fourth Proportional to 391,009,968.70, 587,141,641.05 and 310,897,123.90

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Solution

The fourth proportional to 391,009,968.70, 587,141,641.05 and 310,897,123.90 is: 466,843,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,009,968.70 : 587,141,641.05 = 310,897,123.90 : x
  2. Step 2: Convert to fraction form
    391,009,968.70/587,141,641.05 = 310,897,123.90/x
  3. Step 3: Cross multiply
    391,009,968.70x = 587,141,641.05 × 310,897,123.90
  4. Step 4: Simplify right side
    391,009,968.70x = 182,540,647,524,371,136
  5. Step 5: Solve for x
    x = 182,540,647,524,371,136/391,009,968.70
  6. Step 6: Final answer
    x = 466,843,973.65

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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.