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Finding the Fourth Proportional to 285,176.22, 427,731.49 and 74,830.56

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Solution

The fourth proportional to 285,176.22, 427,731.49 and 74,830.56 is: 112,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,176.22 : 427,731.49 = 74,830.56 : x
  2. Step 2: Convert to fraction form
    285,176.22/427,731.49 = 74,830.56/x
  3. Step 3: Cross multiply
    285,176.22x = 427,731.49 × 74,830.56
  4. Step 4: Simplify right side
    285,176.22x = 32,007,386,926.33
  5. Step 5: Solve for x
    x = 32,007,386,926.33/285,176.22
  6. Step 6: Final answer
    x = 112,237.22

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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.