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Finding the Fourth Proportional to 329,061.20, 493,822.20 and 142,206.80

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Solution

The fourth proportional to 329,061.20, 493,822.20 and 142,206.80 is: 213,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,061.20 : 493,822.20 = 142,206.80 : x
  2. Step 2: Convert to fraction form
    329,061.20/493,822.20 = 142,206.80/x
  3. Step 3: Cross multiply
    329,061.20x = 493,822.20 × 142,206.80
  4. Step 4: Simplify right side
    329,061.20x = 70,224,874,830.96
  5. Step 5: Solve for x
    x = 70,224,874,830.96/329,061.20
  6. Step 6: Final answer
    x = 213,409.77

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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.