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Finding the Fourth Proportional to 298,498.78, 411,925.80 and 169,462

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Solution

The fourth proportional to 298,498.78, 411,925.80 and 169,462 is: 233,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,498.78 : 411,925.80 = 169,462 : x
  2. Step 2: Convert to fraction form
    298,498.78/411,925.80 = 169,462/x
  3. Step 3: Cross multiply
    298,498.78x = 411,925.80 × 169,462
  4. Step 4: Simplify right side
    298,498.78x = 69,805,769,919.60
  5. Step 5: Solve for x
    x = 69,805,769,919.60/298,498.78
  6. Step 6: Final answer
    x = 233,856.13

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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.