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Finding the Fourth Proportional to 401,633.32, 602,081.34 and 138,793

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Solution

The fourth proportional to 401,633.32, 602,081.34 and 138,793 is: 208,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,633.32 : 602,081.34 = 138,793 : x
  2. Step 2: Convert to fraction form
    401,633.32/602,081.34 = 138,793/x
  3. Step 3: Cross multiply
    401,633.32x = 602,081.34 × 138,793
  4. Step 4: Simplify right side
    401,633.32x = 83,564,675,422.62
  5. Step 5: Solve for x
    x = 83,564,675,422.62/401,633.32
  6. Step 6: Final answer
    x = 208,062.11

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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.