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Finding the Fourth Proportional to 472,072.90, 651,452.39 and 257,214.73

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Solution

The fourth proportional to 472,072.90, 651,452.39 and 257,214.73 is: 354,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,072.90 : 651,452.39 = 257,214.73 : x
  2. Step 2: Convert to fraction form
    472,072.90/651,452.39 = 257,214.73/x
  3. Step 3: Cross multiply
    472,072.90x = 651,452.39 × 257,214.73
  4. Step 4: Simplify right side
    472,072.90x = 167,563,147,344.44
  5. Step 5: Solve for x
    x = 167,563,147,344.44/472,072.90
  6. Step 6: Final answer
    x = 354,951.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.