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Finding the Fourth Proportional to 285,740.88, 428,523.80 and 197,561.04

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Solution

The fourth proportional to 285,740.88, 428,523.80 and 197,561.04 is: 296,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,740.88 : 428,523.80 = 197,561.04 : x
  2. Step 2: Convert to fraction form
    285,740.88/428,523.80 = 197,561.04/x
  3. Step 3: Cross multiply
    285,740.88x = 428,523.80 × 197,561.04
  4. Step 4: Simplify right side
    285,740.88x = 84,659,607,592.75
  5. Step 5: Solve for x
    x = 84,659,607,592.75/285,740.88
  6. Step 6: Final answer
    x = 296,281.05

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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.