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Finding the Fourth Proportional to 298,444.32, 411,840.72 and 164,299.68

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Solution

The fourth proportional to 298,444.32, 411,840.72 and 164,299.68 is: 226,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,444.32 : 411,840.72 = 164,299.68 : x
  2. Step 2: Convert to fraction form
    298,444.32/411,840.72 = 164,299.68/x
  3. Step 3: Cross multiply
    298,444.32x = 411,840.72 × 164,299.68
  4. Step 4: Simplify right side
    298,444.32x = 67,665,298,506.97
  5. Step 5: Solve for x
    x = 67,665,298,506.97/298,444.32
  6. Step 6: Final answer
    x = 226,726.71

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1.5x scale

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.