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Finding the Fourth Proportional to 218,869.40, 328,304.10 and 148,885.40

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Solution

The fourth proportional to 218,869.40, 328,304.10 and 148,885.40 is: 223,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,869.40 : 328,304.10 = 148,885.40 : x
  2. Step 2: Convert to fraction form
    218,869.40/328,304.10 = 148,885.40/x
  3. Step 3: Cross multiply
    218,869.40x = 328,304.10 × 148,885.40
  4. Step 4: Simplify right side
    218,869.40x = 48,879,687,250.14
  5. Step 5: Solve for x
    x = 48,879,687,250.14/218,869.40
  6. Step 6: Final answer
    x = 223,328.10

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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.