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Finding the Fourth Proportional to 329,023.30, 493,650.15 and 142,168.90

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Solution

The fourth proportional to 329,023.30, 493,650.15 and 142,168.90 is: 213,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,023.30 : 493,650.15 = 142,168.90 : x
  2. Step 2: Convert to fraction form
    329,023.30/493,650.15 = 142,168.90/x
  3. Step 3: Cross multiply
    329,023.30x = 493,650.15 × 142,168.90
  4. Step 4: Simplify right side
    329,023.30x = 70,181,698,810.34
  5. Step 5: Solve for x
    x = 70,181,698,810.34/329,023.30
  6. Step 6: Final answer
    x = 213,303.13

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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.