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Finding the Fourth Proportional to 433,571.13, 649,765.80 and 208,915.20

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Solution

The fourth proportional to 433,571.13, 649,765.80 and 208,915.20 is: 313,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,571.13 : 649,765.80 = 208,915.20 : x
  2. Step 2: Convert to fraction form
    433,571.13/649,765.80 = 208,915.20/x
  3. Step 3: Cross multiply
    433,571.13x = 649,765.80 × 208,915.20
  4. Step 4: Simplify right side
    433,571.13x = 135,745,952,060.16
  5. Step 5: Solve for x
    x = 135,745,952,060.16/433,571.13
  6. Step 6: Final answer
    x = 313,088.08

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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.