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Finding the Fourth Proportional to 391,570.30, 587,355.45 and 256,851.10

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Solution

The fourth proportional to 391,570.30, 587,355.45 and 256,851.10 is: 385,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,570.30 : 587,355.45 = 256,851.10 : x
  2. Step 2: Convert to fraction form
    391,570.30/587,355.45 = 256,851.10/x
  3. Step 3: Cross multiply
    391,570.30x = 587,355.45 × 256,851.10
  4. Step 4: Simplify right side
    391,570.30x = 150,862,893,423.50
  5. Step 5: Solve for x
    x = 150,862,893,423.50/391,570.30
  6. Step 6: Final answer
    x = 385,276.65

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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.