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Finding the Fourth Proportional to 328,046.60, 491,762.70 and 256,929.80

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Solution

The fourth proportional to 328,046.60, 491,762.70 and 256,929.80 is: 385,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,046.60 : 491,762.70 = 256,929.80 : x
  2. Step 2: Convert to fraction form
    328,046.60/491,762.70 = 256,929.80/x
  3. Step 3: Cross multiply
    328,046.60x = 491,762.70 × 256,929.80
  4. Step 4: Simplify right side
    328,046.60x = 126,348,492,158.46
  5. Step 5: Solve for x
    x = 126,348,492,158.46/328,046.60
  6. Step 6: Final answer
    x = 385,154.10

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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.