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Finding the Fourth Proportional to 432,644.32, 649,041.40 and 192,843.28

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Solution

The fourth proportional to 432,644.32, 649,041.40 and 192,843.28 is: 289,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,644.32 : 649,041.40 = 192,843.28 : x
  2. Step 2: Convert to fraction form
    432,644.32/649,041.40 = 192,843.28/x
  3. Step 3: Cross multiply
    432,644.32x = 649,041.40 × 192,843.28
  4. Step 4: Simplify right side
    432,644.32x = 125,163,272,431.79
  5. Step 5: Solve for x
    x = 125,163,272,431.79/432,644.32
  6. Step 6: Final answer
    x = 289,298.31

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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.