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Finding the Fourth Proportional to 564,217.30, 778,620.81 and 309,570.31

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Solution

The fourth proportional to 564,217.30, 778,620.81 and 309,570.31 is: 427,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,217.30 : 778,620.81 = 309,570.31 : x
  2. Step 2: Convert to fraction form
    564,217.30/778,620.81 = 309,570.31/x
  3. Step 3: Cross multiply
    564,217.30x = 778,620.81 × 309,570.31
  4. Step 4: Simplify right side
    564,217.30x = 241,037,885,524.15
  5. Step 5: Solve for x
    x = 241,037,885,524.15/564,217.30
  6. Step 6: Final answer
    x = 427,207.54

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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.