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Finding the Fourth Proportional to 289,129.20, 433,888.20 and 162,769.20

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Solution

The fourth proportional to 289,129.20, 433,888.20 and 162,769.20 is: 244,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,129.20 : 433,888.20 = 162,769.20 : x
  2. Step 2: Convert to fraction form
    289,129.20/433,888.20 = 162,769.20/x
  3. Step 3: Cross multiply
    289,129.20x = 433,888.20 × 162,769.20
  4. Step 4: Simplify right side
    289,129.20x = 70,623,635,203.44
  5. Step 5: Solve for x
    x = 70,623,635,203.44/289,129.20
  6. Step 6: Final answer
    x = 244,263.24

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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.