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Finding the Fourth Proportional to 319,232.76, 478,525.95 and 206,984.04

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Solution

The fourth proportional to 319,232.76, 478,525.95 and 206,984.04 is: 310,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,232.76 : 478,525.95 = 206,984.04 : x
  2. Step 2: Convert to fraction form
    319,232.76/478,525.95 = 206,984.04/x
  3. Step 3: Cross multiply
    319,232.76x = 478,525.95 × 206,984.04
  4. Step 4: Simplify right side
    319,232.76x = 99,047,234,375.84
  5. Step 5: Solve for x
    x = 99,047,234,375.84/319,232.76
  6. Step 6: Final answer
    x = 310,266.51

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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.