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Finding the Fourth Proportional to 434,636.80, 652,228.80 and 185,315.20

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Solution

The fourth proportional to 434,636.80, 652,228.80 and 185,315.20 is: 278,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,636.80 : 652,228.80 = 185,315.20 : x
  2. Step 2: Convert to fraction form
    434,636.80/652,228.80 = 185,315.20/x
  3. Step 3: Cross multiply
    434,636.80x = 652,228.80 × 185,315.20
  4. Step 4: Simplify right side
    434,636.80x = 120,867,910,517.76
  5. Step 5: Solve for x
    x = 120,867,910,517.76/434,636.80
  6. Step 6: Final answer
    x = 278,089.45

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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.