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Finding the Fourth Proportional to 434,808.40, 652,212.60 and 154,289.20

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Solution

The fourth proportional to 434,808.40, 652,212.60 and 154,289.20 is: 231,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,808.40 : 652,212.60 = 154,289.20 : x
  2. Step 2: Convert to fraction form
    434,808.40/652,212.60 = 154,289.20/x
  3. Step 3: Cross multiply
    434,808.40x = 652,212.60 × 154,289.20
  4. Step 4: Simplify right side
    434,808.40x = 100,629,360,283.92
  5. Step 5: Solve for x
    x = 100,629,360,283.92/434,808.40
  6. Step 6: Final answer
    x = 231,433.80

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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.