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Finding the Fourth Proportional to 213,488.16, 294,571.80 and 128,609.88

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Solution

The fourth proportional to 213,488.16, 294,571.80 and 128,609.88 is: 177,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,488.16 : 294,571.80 = 128,609.88 : x
  2. Step 2: Convert to fraction form
    213,488.16/294,571.80 = 128,609.88/x
  3. Step 3: Cross multiply
    213,488.16x = 294,571.80 × 128,609.88
  4. Step 4: Simplify right side
    213,488.16x = 37,884,843,849.38
  5. Step 5: Solve for x
    x = 37,884,843,849.38/213,488.16
  6. Step 6: Final answer
    x = 177,456.42

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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.