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Finding the Fourth Proportional to 310,322.40, 465,046.20 and 191,641.20

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Solution

The fourth proportional to 310,322.40, 465,046.20 and 191,641.20 is: 287,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,322.40 : 465,046.20 = 191,641.20 : x
  2. Step 2: Convert to fraction form
    310,322.40/465,046.20 = 191,641.20/x
  3. Step 3: Cross multiply
    310,322.40x = 465,046.20 × 191,641.20
  4. Step 4: Simplify right side
    310,322.40x = 89,122,011,823.44
  5. Step 5: Solve for x
    x = 89,122,011,823.44/310,322.40
  6. Step 6: Final answer
    x = 287,191.68

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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.