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Finding the Fourth Proportional to 389,304.20, 583,720.32 and 189,423.20

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Solution

The fourth proportional to 389,304.20, 583,720.32 and 189,423.20 is: 284,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,304.20 : 583,720.32 = 189,423.20 : x
  2. Step 2: Convert to fraction form
    389,304.20/583,720.32 = 189,423.20/x
  3. Step 3: Cross multiply
    389,304.20x = 583,720.32 × 189,423.20
  4. Step 4: Simplify right side
    389,304.20x = 110,570,170,919.42
  5. Step 5: Solve for x
    x = 110,570,170,919.42/389,304.20
  6. Step 6: Final answer
    x = 284,019.98

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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.