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Finding the Fourth Proportional to 443,534.91, 612,078.42 and 239,585.84

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Solution

The fourth proportional to 443,534.91, 612,078.42 and 239,585.84 is: 330,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,534.91 : 612,078.42 = 239,585.84 : x
  2. Step 2: Convert to fraction form
    443,534.91/612,078.42 = 239,585.84/x
  3. Step 3: Cross multiply
    443,534.91x = 612,078.42 × 239,585.84
  4. Step 4: Simplify right side
    443,534.91x = 146,645,319,341.18
  5. Step 5: Solve for x
    x = 146,645,319,341.18/443,534.91
  6. Step 6: Final answer
    x = 330,628.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.