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Finding the Fourth Proportional to 285,851.61, 429,034.41 and 152,845.56

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Solution

The fourth proportional to 285,851.61, 429,034.41 and 152,845.56 is: 229,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,851.61 : 429,034.41 = 152,845.56 : x
  2. Step 2: Convert to fraction form
    285,851.61/429,034.41 = 152,845.56/x
  3. Step 3: Cross multiply
    285,851.61x = 429,034.41 × 152,845.56
  4. Step 4: Simplify right side
    285,851.61x = 65,576,004,655.72
  5. Step 5: Solve for x
    x = 65,576,004,655.72/285,851.61
  6. Step 6: Final answer
    x = 229,405.76

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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.