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Finding the Fourth Proportional to 391,302,823.20, 586,954,234.80 and 385,256,205.60

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Solution

The fourth proportional to 391,302,823.20, 586,954,234.80 and 385,256,205.60 is: 577,884,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,302,823.20 : 586,954,234.80 = 385,256,205.60 : x
  2. Step 2: Convert to fraction form
    391,302,823.20/586,954,234.80 = 385,256,205.60/x
  3. Step 3: Cross multiply
    391,302,823.20x = 586,954,234.80 × 385,256,205.60
  4. Step 4: Simplify right side
    391,302,823.20x = 226,127,761,359,899,456
  5. Step 5: Solve for x
    x = 226,127,761,359,899,456/391,302,823.20
  6. Step 6: Final answer
    x = 577,884,308.40

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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.