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Finding the Fourth Proportional to 285,941.55, 428,765.87 and 151,078.02

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Solution

The fourth proportional to 285,941.55, 428,765.87 and 151,078.02 is: 226,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,941.55 : 428,765.87 = 151,078.02 : x
  2. Step 2: Convert to fraction form
    285,941.55/428,765.87 = 151,078.02/x
  3. Step 3: Cross multiply
    285,941.55x = 428,765.87 × 151,078.02
  4. Step 4: Simplify right side
    285,941.55x = 64,777,097,927.79
  5. Step 5: Solve for x
    x = 64,777,097,927.79/285,941.55
  6. Step 6: Final answer
    x = 226,539.65

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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.