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Finding the Fourth Proportional to 330,095.76, 495,138.12 and 105,454.56

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Solution

The fourth proportional to 330,095.76, 495,138.12 and 105,454.56 is: 158,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,095.76 : 495,138.12 = 105,454.56 : x
  2. Step 2: Convert to fraction form
    330,095.76/495,138.12 = 105,454.56/x
  3. Step 3: Cross multiply
    330,095.76x = 495,138.12 × 105,454.56
  4. Step 4: Simplify right side
    330,095.76x = 52,214,572,583.83
  5. Step 5: Solve for x
    x = 52,214,572,583.83/330,095.76
  6. Step 6: Final answer
    x = 158,180.08

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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.