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Finding the Fourth Proportional to 429,407.89, 647,127.78 and 386,766.86

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Solution

The fourth proportional to 429,407.89, 647,127.78 and 386,766.86 is: 582,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,407.89 : 647,127.78 = 386,766.86 : x
  2. Step 2: Convert to fraction form
    429,407.89/647,127.78 = 386,766.86/x
  3. Step 3: Cross multiply
    429,407.89x = 647,127.78 × 386,766.86
  4. Step 4: Simplify right side
    429,407.89x = 250,287,579,489.37
  5. Step 5: Solve for x
    x = 250,287,579,489.37/429,407.89
  6. Step 6: Final answer
    x = 582,866.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.