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Finding the Fourth Proportional to 329,792.78, 494,650.29 and 147,445.58

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Solution

The fourth proportional to 329,792.78, 494,650.29 and 147,445.58 is: 221,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,792.78 : 494,650.29 = 147,445.58 : x
  2. Step 2: Convert to fraction form
    329,792.78/494,650.29 = 147,445.58/x
  3. Step 3: Cross multiply
    329,792.78x = 494,650.29 × 147,445.58
  4. Step 4: Simplify right side
    329,792.78x = 72,934,000,695.76
  5. Step 5: Solve for x
    x = 72,934,000,695.76/329,792.78
  6. Step 6: Final answer
    x = 221,150.99

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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.