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Finding the Fourth Proportional to 457,379.40, 685,945.15 and 191,084.20

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Solution

The fourth proportional to 457,379.40, 685,945.15 and 191,084.20 is: 286,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,379.40 : 685,945.15 = 191,084.20 : x
  2. Step 2: Convert to fraction form
    457,379.40/685,945.15 = 191,084.20/x
  3. Step 3: Cross multiply
    457,379.40x = 685,945.15 × 191,084.20
  4. Step 4: Simplify right side
    457,379.40x = 131,073,280,231.63
  5. Step 5: Solve for x
    x = 131,073,280,231.63/457,379.40
  6. Step 6: Final answer
    x = 286,574.52

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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.