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Finding the Fourth Proportional to 329,009.80, 493,629.90 and 142,155.40

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Solution

The fourth proportional to 329,009.80, 493,629.90 and 142,155.40 is: 213,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,009.80 : 493,629.90 = 142,155.40 : x
  2. Step 2: Convert to fraction form
    329,009.80/493,629.90 = 142,155.40/x
  3. Step 3: Cross multiply
    329,009.80x = 493,629.90 × 142,155.40
  4. Step 4: Simplify right side
    329,009.80x = 70,172,155,886.46
  5. Step 5: Solve for x
    x = 70,172,155,886.46/329,009.80
  6. Step 6: Final answer
    x = 213,282.87

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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.