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Finding the Fourth Proportional to 391,405.80, 587,108.70 and 142,055.40

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Solution

The fourth proportional to 391,405.80, 587,108.70 and 142,055.40 is: 213,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,405.80 : 587,108.70 = 142,055.40 : x
  2. Step 2: Convert to fraction form
    391,405.80/587,108.70 = 142,055.40/x
  3. Step 3: Cross multiply
    391,405.80x = 587,108.70 × 142,055.40
  4. Step 4: Simplify right side
    391,405.80x = 83,401,961,221.98
  5. Step 5: Solve for x
    x = 83,401,961,221.98/391,405.80
  6. Step 6: Final answer
    x = 213,083.10

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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.