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Finding the Fourth Proportional to 391,361.32, 586,367.98 and 305,938.93

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Solution

The fourth proportional to 391,361.32, 586,367.98 and 305,938.93 is: 458,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,361.32 : 586,367.98 = 305,938.93 : x
  2. Step 2: Convert to fraction form
    391,361.32/586,367.98 = 305,938.93/x
  3. Step 3: Cross multiply
    391,361.32x = 586,367.98 × 305,938.93
  4. Step 4: Simplify right side
    391,361.32x = 179,392,792,387.46
  5. Step 5: Solve for x
    x = 179,392,792,387.46/391,361.32
  6. Step 6: Final answer
    x = 458,381.51

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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.