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Finding the Fourth Proportional to 432,865.78, 649,298.67 and 117,322.68

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Solution

The fourth proportional to 432,865.78, 649,298.67 and 117,322.68 is: 175,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,865.78 : 649,298.67 = 117,322.68 : x
  2. Step 2: Convert to fraction form
    432,865.78/649,298.67 = 117,322.68/x
  3. Step 3: Cross multiply
    432,865.78x = 649,298.67 × 117,322.68
  4. Step 4: Simplify right side
    432,865.78x = 76,177,460,084.84
  5. Step 5: Solve for x
    x = 76,177,460,084.84/432,865.78
  6. Step 6: Final answer
    x = 175,984.02

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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.