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Finding the Fourth Proportional to 329,008.20, 493,742.70 and 142,153.80

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Solution

The fourth proportional to 329,008.20, 493,742.70 and 142,153.80 is: 213,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,008.20 : 493,742.70 = 142,153.80 : x
  2. Step 2: Convert to fraction form
    329,008.20/493,742.70 = 142,153.80/x
  3. Step 3: Cross multiply
    329,008.20x = 493,742.70 × 142,153.80
  4. Step 4: Simplify right side
    329,008.20x = 70,187,401,027.26
  5. Step 5: Solve for x
    x = 70,187,401,027.26/329,008.20
  6. Step 6: Final answer
    x = 213,330.25

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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.