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Finding the Fourth Proportional to 298,515.76, 411,250.92 and 207,715.80

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Solution

The fourth proportional to 298,515.76, 411,250.92 and 207,715.80 is: 286,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,515.76 : 411,250.92 = 207,715.80 : x
  2. Step 2: Convert to fraction form
    298,515.76/411,250.92 = 207,715.80/x
  3. Step 3: Cross multiply
    298,515.76x = 411,250.92 × 207,715.80
  4. Step 4: Simplify right side
    298,515.76x = 85,423,313,848.54
  5. Step 5: Solve for x
    x = 85,423,313,848.54/298,515.76
  6. Step 6: Final answer
    x = 286,160.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.