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Finding the Fourth Proportional to 265,908.96, 398,747.04 and 99,580.32

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Solution

The fourth proportional to 265,908.96, 398,747.04 and 99,580.32 is: 149,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,908.96 : 398,747.04 = 99,580.32 : x
  2. Step 2: Convert to fraction form
    265,908.96/398,747.04 = 99,580.32/x
  3. Step 3: Cross multiply
    265,908.96x = 398,747.04 × 99,580.32
  4. Step 4: Simplify right side
    265,908.96x = 39,707,357,842.25
  5. Step 5: Solve for x
    x = 39,707,357,842.25/265,908.96
  6. Step 6: Final answer
    x = 149,326.89

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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.