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Finding the Fourth Proportional to 413,632.90, 620,449.35 and 271,915.30

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Solution

The fourth proportional to 413,632.90, 620,449.35 and 271,915.30 is: 407,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,632.90 : 620,449.35 = 271,915.30 : x
  2. Step 2: Convert to fraction form
    413,632.90/620,449.35 = 271,915.30/x
  3. Step 3: Cross multiply
    413,632.90x = 620,449.35 × 271,915.30
  4. Step 4: Simplify right side
    413,632.90x = 168,709,671,140.06
  5. Step 5: Solve for x
    x = 168,709,671,140.06/413,632.90
  6. Step 6: Final answer
    x = 407,872.95

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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.