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Finding the Fourth Proportional to 391,156.70, 586,642.97 and 106,779.64

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Solution

The fourth proportional to 391,156.70, 586,642.97 and 106,779.64 is: 160,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,156.70 : 586,642.97 = 106,779.64 : x
  2. Step 2: Convert to fraction form
    391,156.70/586,642.97 = 106,779.64/x
  3. Step 3: Cross multiply
    391,156.70x = 586,642.97 × 106,779.64
  4. Step 4: Simplify right side
    391,156.70x = 62,641,525,045.43
  5. Step 5: Solve for x
    x = 62,641,525,045.43/391,156.70
  6. Step 6: Final answer
    x = 160,144.33

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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.