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Finding the Fourth Proportional to 329,041.20, 493,792.20 and 142,186.80

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Solution

The fourth proportional to 329,041.20, 493,792.20 and 142,186.80 is: 213,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,041.20 : 493,792.20 = 142,186.80 : x
  2. Step 2: Convert to fraction form
    329,041.20/493,792.20 = 142,186.80/x
  3. Step 3: Cross multiply
    329,041.20x = 493,792.20 × 142,186.80
  4. Step 4: Simplify right side
    329,041.20x = 70,210,732,782.96
  5. Step 5: Solve for x
    x = 70,210,732,782.96/329,041.20
  6. Step 6: Final answer
    x = 213,379.76

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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.