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Finding the Fourth Proportional to 330,111.20, 495,166.80 and 152,964.20

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Solution

The fourth proportional to 330,111.20, 495,166.80 and 152,964.20 is: 229,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,111.20 : 495,166.80 = 152,964.20 : x
  2. Step 2: Convert to fraction form
    330,111.20/495,166.80 = 152,964.20/x
  3. Step 3: Cross multiply
    330,111.20x = 495,166.80 × 152,964.20
  4. Step 4: Simplify right side
    330,111.20x = 75,742,793,428.56
  5. Step 5: Solve for x
    x = 75,742,793,428.56/330,111.20
  6. Step 6: Final answer
    x = 229,446.30

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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.