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Finding the Fourth Proportional to 265,337.34, 398,169.18 and 105,385.30

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Solution

The fourth proportional to 265,337.34, 398,169.18 and 105,385.30 is: 158,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,337.34 : 398,169.18 = 105,385.30 : x
  2. Step 2: Convert to fraction form
    265,337.34/398,169.18 = 105,385.30/x
  3. Step 3: Cross multiply
    265,337.34x = 398,169.18 × 105,385.30
  4. Step 4: Simplify right side
    265,337.34x = 41,961,178,485.05
  5. Step 5: Solve for x
    x = 41,961,178,485.05/265,337.34
  6. Step 6: Final answer
    x = 158,142.76

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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.