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Finding the Fourth Proportional to 331,492.20, 497,627.10 and 329,159.40

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Solution

The fourth proportional to 331,492.20, 497,627.10 and 329,159.40 is: 494,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,492.20 : 497,627.10 = 329,159.40 : x
  2. Step 2: Convert to fraction form
    331,492.20/497,627.10 = 329,159.40/x
  3. Step 3: Cross multiply
    331,492.20x = 497,627.10 × 329,159.40
  4. Step 4: Simplify right side
    331,492.20x = 163,798,637,659.74
  5. Step 5: Solve for x
    x = 163,798,637,659.74/331,492.20
  6. Step 6: Final answer
    x = 494,125.16

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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.