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Finding the Fourth Proportional to 427,783.78, 642,306.48 and 238,613.75

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Solution

The fourth proportional to 427,783.78, 642,306.48 and 238,613.75 is: 358,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,783.78 : 642,306.48 = 238,613.75 : x
  2. Step 2: Convert to fraction form
    427,783.78/642,306.48 = 238,613.75/x
  3. Step 3: Cross multiply
    427,783.78x = 642,306.48 × 238,613.75
  4. Step 4: Simplify right side
    427,783.78x = 153,263,158,157.72
  5. Step 5: Solve for x
    x = 153,263,158,157.72/427,783.78
  6. Step 6: Final answer
    x = 358,272.48

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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.