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Finding the Fourth Proportional to 432,433.32, 649,048.56 and 219,350.76

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Solution

The fourth proportional to 432,433.32, 649,048.56 and 219,350.76 is: 329,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,433.32 : 649,048.56 = 219,350.76 : x
  2. Step 2: Convert to fraction form
    432,433.32/649,048.56 = 219,350.76/x
  3. Step 3: Cross multiply
    432,433.32x = 649,048.56 × 219,350.76
  4. Step 4: Simplify right side
    432,433.32x = 142,369,294,912.91
  5. Step 5: Solve for x
    x = 142,369,294,912.91/432,433.32
  6. Step 6: Final answer
    x = 329,228.32

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1.5x scale

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.