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Finding the Fourth Proportional to 434,701.20, 652,246.20 and 154,419.60

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Solution

The fourth proportional to 434,701.20, 652,246.20 and 154,419.60 is: 231,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,701.20 : 652,246.20 = 154,419.60 : x
  2. Step 2: Convert to fraction form
    434,701.20/652,246.20 = 154,419.60/x
  3. Step 3: Cross multiply
    434,701.20x = 652,246.20 × 154,419.60
  4. Step 4: Simplify right side
    434,701.20x = 100,719,597,305.52
  5. Step 5: Solve for x
    x = 100,719,597,305.52/434,701.20
  6. Step 6: Final answer
    x = 231,698.46

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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.