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Finding the Fourth Proportional to 285,433.20, 427,740.20 and 209,964.40

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Solution

The fourth proportional to 285,433.20, 427,740.20 and 209,964.40 is: 314,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,433.20 : 427,740.20 = 209,964.40 : x
  2. Step 2: Convert to fraction form
    285,433.20/427,740.20 = 209,964.40/x
  3. Step 3: Cross multiply
    285,433.20x = 427,740.20 × 209,964.40
  4. Step 4: Simplify right side
    285,433.20x = 89,810,214,448.88
  5. Step 5: Solve for x
    x = 89,810,214,448.88/285,433.20
  6. Step 6: Final answer
    x = 314,645.30

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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.