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Finding the Fourth Proportional to 429,406.52, 647,125.71 and 386,765.48

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Solution

The fourth proportional to 429,406.52, 647,125.71 and 386,765.48 is: 582,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,406.52 : 647,125.71 = 386,765.48 : x
  2. Step 2: Convert to fraction form
    429,406.52/647,125.71 = 386,765.48/x
  3. Step 3: Cross multiply
    429,406.52x = 647,125.71 × 386,765.48
  4. Step 4: Simplify right side
    429,406.52x = 250,285,886,015.94
  5. Step 5: Solve for x
    x = 250,285,886,015.94/429,406.52
  6. Step 6: Final answer
    x = 582,864.67

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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.