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Finding the Fourth Proportional to 330,178.42, 495,243.40 and 105,478.52

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Solution

The fourth proportional to 330,178.42, 495,243.40 and 105,478.52 is: 158,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,178.42 : 495,243.40 = 105,478.52 : x
  2. Step 2: Convert to fraction form
    330,178.42/495,243.40 = 105,478.52/x
  3. Step 3: Cross multiply
    330,178.42x = 495,243.40 × 105,478.52
  4. Step 4: Simplify right side
    330,178.42x = 52,237,540,871.77
  5. Step 5: Solve for x
    x = 52,237,540,871.77/330,178.42
  6. Step 6: Final answer
    x = 158,210.04

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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.