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Finding the Fourth Proportional to 306,779.43, 460,279.85 and 107,129.28

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Solution

The fourth proportional to 306,779.43, 460,279.85 and 107,129.28 is: 160,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,779.43 : 460,279.85 = 107,129.28 : x
  2. Step 2: Convert to fraction form
    306,779.43/460,279.85 = 107,129.28/x
  3. Step 3: Cross multiply
    306,779.43x = 460,279.85 × 107,129.28
  4. Step 4: Simplify right side
    306,779.43x = 49,309,448,393.36
  5. Step 5: Solve for x
    x = 49,309,448,393.36/306,779.43
  6. Step 6: Final answer
    x = 160,732.58

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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.