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Finding the Fourth Proportional to 434,729.20, 652,288.20 and 154,447.60

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Solution

The fourth proportional to 434,729.20, 652,288.20 and 154,447.60 is: 231,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,729.20 : 652,288.20 = 154,447.60 : x
  2. Step 2: Convert to fraction form
    434,729.20/652,288.20 = 154,447.60/x
  3. Step 3: Cross multiply
    434,729.20x = 652,288.20 × 154,447.60
  4. Step 4: Simplify right side
    434,729.20x = 100,744,346,998.32
  5. Step 5: Solve for x
    x = 100,744,346,998.32/434,729.20
  6. Step 6: Final answer
    x = 231,740.47

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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.