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Finding the Fourth Proportional to 329,875.20, 494,697.60 and 172,051.20

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Solution

The fourth proportional to 329,875.20, 494,697.60 and 172,051.20 is: 258,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,875.20 : 494,697.60 = 172,051.20 : x
  2. Step 2: Convert to fraction form
    329,875.20/494,697.60 = 172,051.20/x
  3. Step 3: Cross multiply
    329,875.20x = 494,697.60 × 172,051.20
  4. Step 4: Simplify right side
    329,875.20x = 85,113,315,717.12
  5. Step 5: Solve for x
    x = 85,113,315,717.12/329,875.20
  6. Step 6: Final answer
    x = 258,016.72

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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.