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Finding the Fourth Proportional to 218,967.64, 302,185.70 and 123,472.29

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Solution

The fourth proportional to 218,967.64, 302,185.70 and 123,472.29 is: 170,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,967.64 : 302,185.70 = 123,472.29 : x
  2. Step 2: Convert to fraction form
    218,967.64/302,185.70 = 123,472.29/x
  3. Step 3: Cross multiply
    218,967.64x = 302,185.70 × 123,472.29
  4. Step 4: Simplify right side
    218,967.64x = 37,311,560,384.25
  5. Step 5: Solve for x
    x = 37,311,560,384.25/218,967.64
  6. Step 6: Final answer
    x = 170,397.60

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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.