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Finding the Fourth Proportional to 564,793.94, 778,983.80 and 383,645.54

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Solution

The fourth proportional to 564,793.94, 778,983.80 and 383,645.54 is: 529,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,793.94 : 778,983.80 = 383,645.54 : x
  2. Step 2: Convert to fraction form
    564,793.94/778,983.80 = 383,645.54/x
  3. Step 3: Cross multiply
    564,793.94x = 778,983.80 × 383,645.54
  4. Step 4: Simplify right side
    564,793.94x = 298,853,660,602.25
  5. Step 5: Solve for x
    x = 298,853,660,602.25/564,793.94
  6. Step 6: Final answer
    x = 529,137.51

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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.