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Finding the Fourth Proportional to 218,008.40, 326,551.80 and 194,661.20

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Solution

The fourth proportional to 218,008.40, 326,551.80 and 194,661.20 is: 291,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,008.40 : 326,551.80 = 194,661.20 : x
  2. Step 2: Convert to fraction form
    218,008.40/326,551.80 = 194,661.20/x
  3. Step 3: Cross multiply
    218,008.40x = 326,551.80 × 194,661.20
  4. Step 4: Simplify right side
    218,008.40x = 63,566,965,250.16
  5. Step 5: Solve for x
    x = 63,566,965,250.16/218,008.40
  6. Step 6: Final answer
    x = 291,580.35

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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.