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Finding the Fourth Proportional to 300,498.65, 414,675.30 and 164,530.13

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Solution

The fourth proportional to 300,498.65, 414,675.30 and 164,530.13 is: 227,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,498.65 : 414,675.30 = 164,530.13 : x
  2. Step 2: Convert to fraction form
    300,498.65/414,675.30 = 164,530.13/x
  3. Step 3: Cross multiply
    300,498.65x = 414,675.30 × 164,530.13
  4. Step 4: Simplify right side
    300,498.65x = 68,226,581,016.79
  5. Step 5: Solve for x
    x = 68,226,581,016.79/300,498.65
  6. Step 6: Final answer
    x = 227,044.55

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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.