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Finding the Fourth Proportional to 292,401.75, 438,249.18 and 142,417.29

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Solution

The fourth proportional to 292,401.75, 438,249.18 and 142,417.29 is: 213,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,401.75 : 438,249.18 = 142,417.29 : x
  2. Step 2: Convert to fraction form
    292,401.75/438,249.18 = 142,417.29/x
  3. Step 3: Cross multiply
    292,401.75x = 438,249.18 × 142,417.29
  4. Step 4: Simplify right side
    292,401.75x = 62,414,258,369.08
  5. Step 5: Solve for x
    x = 62,414,258,369.08/292,401.75
  6. Step 6: Final answer
    x = 213,453.78

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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.