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Finding the Fourth Proportional to 285,779.40, 428,581.54 and 197,599.56

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Solution

The fourth proportional to 285,779.40, 428,581.54 and 197,599.56 is: 296,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,779.40 : 428,581.54 = 197,599.56 : x
  2. Step 2: Convert to fraction form
    285,779.40/428,581.54 = 197,599.56/x
  3. Step 3: Cross multiply
    285,779.40x = 428,581.54 × 197,599.56
  4. Step 4: Simplify right side
    285,779.40x = 84,687,523,728.12
  5. Step 5: Solve for x
    x = 84,687,523,728.12/285,779.40
  6. Step 6: Final answer
    x = 296,338.80

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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.