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Finding the Fourth Proportional to 391,478.06, 586,797.31 and 256,491.16

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Solution

The fourth proportional to 391,478.06, 586,797.31 and 256,491.16 is: 384,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,478.06 : 586,797.31 = 256,491.16 : x
  2. Step 2: Convert to fraction form
    391,478.06/586,797.31 = 256,491.16/x
  3. Step 3: Cross multiply
    391,478.06x = 586,797.31 × 256,491.16
  4. Step 4: Simplify right side
    391,478.06x = 150,508,321,580.40
  5. Step 5: Solve for x
    x = 150,508,321,580.40/391,478.06
  6. Step 6: Final answer
    x = 384,461.70

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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.