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Finding the Fourth Proportional to 300,064.32, 413,947.80 and 214,042.32

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Solution

The fourth proportional to 300,064.32, 413,947.80 and 214,042.32 is: 295,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,064.32 : 413,947.80 = 214,042.32 : x
  2. Step 2: Convert to fraction form
    300,064.32/413,947.80 = 214,042.32/x
  3. Step 3: Cross multiply
    300,064.32x = 413,947.80 × 214,042.32
  4. Step 4: Simplify right side
    300,064.32x = 88,602,347,470.90
  5. Step 5: Solve for x
    x = 88,602,347,470.90/300,064.32
  6. Step 6: Final answer
    x = 295,277.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.