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Finding the Fourth Proportional to 391,417.94, 587,360.20 and 142,119.38

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Solution

The fourth proportional to 391,417.94, 587,360.20 and 142,119.38 is: 213,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,417.94 : 587,360.20 = 142,119.38 : x
  2. Step 2: Convert to fraction form
    391,417.94/587,360.20 = 142,119.38/x
  3. Step 3: Cross multiply
    391,417.94x = 587,360.20 × 142,119.38
  4. Step 4: Simplify right side
    391,417.94x = 83,475,267,460.68
  5. Step 5: Solve for x
    x = 83,475,267,460.68/391,417.94
  6. Step 6: Final answer
    x = 213,263.77

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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.