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Finding the Fourth Proportional to 310,326.40, 465,052.20 and 191,645.20

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Solution

The fourth proportional to 310,326.40, 465,052.20 and 191,645.20 is: 287,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,326.40 : 465,052.20 = 191,645.20 : x
  2. Step 2: Convert to fraction form
    310,326.40/465,052.20 = 191,645.20/x
  3. Step 3: Cross multiply
    310,326.40x = 465,052.20 × 191,645.20
  4. Step 4: Simplify right side
    310,326.40x = 89,125,021,879.44
  5. Step 5: Solve for x
    x = 89,125,021,879.44/310,326.40
  6. Step 6: Final answer
    x = 287,197.68

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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.