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Finding the Fourth Proportional to 402,288.50, 603,432.75 and 102,769.74

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Solution

The fourth proportional to 402,288.50, 603,432.75 and 102,769.74 is: 154,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,288.50 : 603,432.75 = 102,769.74 : x
  2. Step 2: Convert to fraction form
    402,288.50/603,432.75 = 102,769.74/x
  3. Step 3: Cross multiply
    402,288.50x = 603,432.75 × 102,769.74
  4. Step 4: Simplify right side
    402,288.50x = 62,014,626,824.99
  5. Step 5: Solve for x
    x = 62,014,626,824.99/402,288.50
  6. Step 6: Final answer
    x = 154,154.61

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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.