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Finding the Fourth Proportional to 456,600.27, 630,285 and 408,770.58

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Solution

The fourth proportional to 456,600.27, 630,285 and 408,770.58 is: 564,261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,600.27 : 630,285 = 408,770.58 : x
  2. Step 2: Convert to fraction form
    456,600.27/630,285 = 408,770.58/x
  3. Step 3: Cross multiply
    456,600.27x = 630,285 × 408,770.58
  4. Step 4: Simplify right side
    456,600.27x = 257,641,965,015.30
  5. Step 5: Solve for x
    x = 257,641,965,015.30/456,600.27
  6. Step 6: Final answer
    x = 564,261.53

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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.