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Finding the Fourth Proportional to 401,549.38, 602,379.66 and 135,386

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Solution

The fourth proportional to 401,549.38, 602,379.66 and 135,386 is: 203,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,549.38 : 602,379.66 = 135,386 : x
  2. Step 2: Convert to fraction form
    401,549.38/602,379.66 = 135,386/x
  3. Step 3: Cross multiply
    401,549.38x = 602,379.66 × 135,386
  4. Step 4: Simplify right side
    401,549.38x = 81,553,772,648.76
  5. Step 5: Solve for x
    x = 81,553,772,648.76/401,549.38
  6. Step 6: Final answer
    x = 203,097.74

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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.