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Finding the Fourth Proportional to 218,020.40, 326,569.80 and 194,673.20

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Solution

The fourth proportional to 218,020.40, 326,569.80 and 194,673.20 is: 291,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,020.40 : 326,569.80 = 194,673.20 : x
  2. Step 2: Convert to fraction form
    218,020.40/326,569.80 = 194,673.20/x
  3. Step 3: Cross multiply
    218,020.40x = 326,569.80 × 194,673.20
  4. Step 4: Simplify right side
    218,020.40x = 63,574,387,989.36
  5. Step 5: Solve for x
    x = 63,574,387,989.36/218,020.40
  6. Step 6: Final answer
    x = 291,598.35

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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.