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Finding the Fourth Proportional to 252,683.78, 378,421.41 and 145,743.55

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Solution

The fourth proportional to 252,683.78, 378,421.41 and 145,743.55 is: 218,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,683.78 : 378,421.41 = 145,743.55 : x
  2. Step 2: Convert to fraction form
    252,683.78/378,421.41 = 145,743.55/x
  3. Step 3: Cross multiply
    252,683.78x = 378,421.41 × 145,743.55
  4. Step 4: Simplify right side
    252,683.78x = 55,152,479,689.41
  5. Step 5: Solve for x
    x = 55,152,479,689.41/252,683.78
  6. Step 6: Final answer
    x = 218,266.80

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1.5x scale

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.