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Finding the Fourth Proportional to 564,231.38, 778,856.10 and 383,024.30

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Solution

The fourth proportional to 564,231.38, 778,856.10 and 383,024.30 is: 528,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,231.38 : 778,856.10 = 383,024.30 : x
  2. Step 2: Convert to fraction form
    564,231.38/778,856.10 = 383,024.30/x
  3. Step 3: Cross multiply
    564,231.38x = 778,856.10 × 383,024.30
  4. Step 4: Simplify right side
    564,231.38x = 298,320,812,503.23
  5. Step 5: Solve for x
    x = 298,320,812,503.23/564,231.38
  6. Step 6: Final answer
    x = 528,720.70

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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.