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Finding the Fourth Proportional to 310,276.40, 464,977.20 and 191,595.20

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Solution

The fourth proportional to 310,276.40, 464,977.20 and 191,595.20 is: 287,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,276.40 : 464,977.20 = 191,595.20 : x
  2. Step 2: Convert to fraction form
    310,276.40/464,977.20 = 191,595.20/x
  3. Step 3: Cross multiply
    310,276.40x = 464,977.20 × 191,595.20
  4. Step 4: Simplify right side
    310,276.40x = 89,087,399,629.44
  5. Step 5: Solve for x
    x = 89,087,399,629.44/310,276.40
  6. Step 6: Final answer
    x = 287,122.71

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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.