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Finding the Fourth Proportional to 289,614.80, 434,422.20 and 269,931.80

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Solution

The fourth proportional to 289,614.80, 434,422.20 and 269,931.80 is: 404,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,614.80 : 434,422.20 = 269,931.80 : x
  2. Step 2: Convert to fraction form
    289,614.80/434,422.20 = 269,931.80/x
  3. Step 3: Cross multiply
    289,614.80x = 434,422.20 × 269,931.80
  4. Step 4: Simplify right side
    289,614.80x = 117,264,366,405.96
  5. Step 5: Solve for x
    x = 117,264,366,405.96/289,614.80
  6. Step 6: Final answer
    x = 404,897.70

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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.