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Finding the Fourth Proportional to 430,711.20, 645,775.20 and 228,340.80

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Solution

The fourth proportional to 430,711.20, 645,775.20 and 228,340.80 is: 342,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,711.20 : 645,775.20 = 228,340.80 : x
  2. Step 2: Convert to fraction form
    430,711.20/645,775.20 = 228,340.80/x
  3. Step 3: Cross multiply
    430,711.20x = 645,775.20 × 228,340.80
  4. Step 4: Simplify right side
    430,711.20x = 147,456,825,788.16
  5. Step 5: Solve for x
    x = 147,456,825,788.16/430,711.20
  6. Step 6: Final answer
    x = 342,356.61

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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.