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Finding the Fourth Proportional to 329,007.80, 493,626.90 and 142,153.40

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Solution

The fourth proportional to 329,007.80, 493,626.90 and 142,153.40 is: 213,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,007.80 : 493,626.90 = 142,153.40 : x
  2. Step 2: Convert to fraction form
    329,007.80/493,626.90 = 142,153.40/x
  3. Step 3: Cross multiply
    329,007.80x = 493,626.90 × 142,153.40
  4. Step 4: Simplify right side
    329,007.80x = 70,170,742,166.46
  5. Step 5: Solve for x
    x = 70,170,742,166.46/329,007.80
  6. Step 6: Final answer
    x = 213,279.87

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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.