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Finding the Fourth Proportional to 328,729.60, 492,806.40 and 223,206.40

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Solution

The fourth proportional to 328,729.60, 492,806.40 and 223,206.40 is: 334,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,729.60 : 492,806.40 = 223,206.40 : x
  2. Step 2: Convert to fraction form
    328,729.60/492,806.40 = 223,206.40/x
  3. Step 3: Cross multiply
    328,729.60x = 492,806.40 × 223,206.40
  4. Step 4: Simplify right side
    328,729.60x = 109,997,542,440.96
  5. Step 5: Solve for x
    x = 109,997,542,440.96/328,729.60
  6. Step 6: Final answer
    x = 334,614.05

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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.