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Finding the Fourth Proportional to 426,178.92, 639,080.08 and 159,752.55

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Solution

The fourth proportional to 426,178.92, 639,080.08 and 159,752.55 is: 239,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,178.92 : 639,080.08 = 159,752.55 : x
  2. Step 2: Convert to fraction form
    426,178.92/639,080.08 = 159,752.55/x
  3. Step 3: Cross multiply
    426,178.92x = 639,080.08 × 159,752.55
  4. Step 4: Simplify right side
    426,178.92x = 102,094,674,431.37
  5. Step 5: Solve for x
    x = 102,094,674,431.37/426,178.92
  6. Step 6: Final answer
    x = 239,558.25

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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.