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Finding the Fourth Proportional to 289,209.40, 433,238.10 and 254,572.60

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Solution

The fourth proportional to 289,209.40, 433,238.10 and 254,572.60 is: 381,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,209.40 : 433,238.10 = 254,572.60 : x
  2. Step 2: Convert to fraction form
    289,209.40/433,238.10 = 254,572.60/x
  3. Step 3: Cross multiply
    289,209.40x = 433,238.10 × 254,572.60
  4. Step 4: Simplify right side
    289,209.40x = 110,290,549,536.06
  5. Step 5: Solve for x
    x = 110,290,549,536.06/289,209.40
  6. Step 6: Final answer
    x = 381,351.88

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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.