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Finding the Fourth Proportional to 298,513.78, 411,248.18 and 207,713.82

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Solution

The fourth proportional to 298,513.78, 411,248.18 and 207,713.82 is: 286,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.78 : 411,248.18 = 207,713.82 : x
  2. Step 2: Convert to fraction form
    298,513.78/411,248.18 = 207,713.82/x
  3. Step 3: Cross multiply
    298,513.78x = 411,248.18 × 207,713.82
  4. Step 4: Simplify right side
    298,513.78x = 85,421,930,435.85
  5. Step 5: Solve for x
    x = 85,421,930,435.85/298,513.78
  6. Step 6: Final answer
    x = 286,157.41

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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.