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Finding the Fourth Proportional to 285,197.95, 427,774.65 and 74,830.42

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Solution

The fourth proportional to 285,197.95, 427,774.65 and 74,830.42 is: 112,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,197.95 : 427,774.65 = 74,830.42 : x
  2. Step 2: Convert to fraction form
    285,197.95/427,774.65 = 74,830.42/x
  3. Step 3: Cross multiply
    285,197.95x = 427,774.65 × 74,830.42
  4. Step 4: Simplify right side
    285,197.95x = 32,010,556,724.85
  5. Step 5: Solve for x
    x = 32,010,556,724.85/285,197.95
  6. Step 6: Final answer
    x = 112,239.79

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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.