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Finding the Fourth Proportional to 432,938.40, 649,422.45 and 133,416.60

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Solution

The fourth proportional to 432,938.40, 649,422.45 and 133,416.60 is: 200,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,938.40 : 649,422.45 = 133,416.60 : x
  2. Step 2: Convert to fraction form
    432,938.40/649,422.45 = 133,416.60/x
  3. Step 3: Cross multiply
    432,938.40x = 649,422.45 × 133,416.60
  4. Step 4: Simplify right side
    432,938.40x = 86,643,735,242.67
  5. Step 5: Solve for x
    x = 86,643,735,242.67/432,938.40
  6. Step 6: Final answer
    x = 200,129.48

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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.