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Finding the Fourth Proportional to 264,319.80, 396,541.26 and 77,345.88

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Solution

The fourth proportional to 264,319.80, 396,541.26 and 77,345.88 is: 116,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,319.80 : 396,541.26 = 77,345.88 : x
  2. Step 2: Convert to fraction form
    264,319.80/396,541.26 = 77,345.88/x
  3. Step 3: Cross multiply
    264,319.80x = 396,541.26 × 77,345.88
  4. Step 4: Simplify right side
    264,319.80x = 30,670,832,711.01
  5. Step 5: Solve for x
    x = 30,670,832,711.01/264,319.80
  6. Step 6: Final answer
    x = 116,036.83

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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.