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Finding the Fourth Proportional to 564,139.35, 778,507.73 and 306,015.66

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Solution

The fourth proportional to 564,139.35, 778,507.73 and 306,015.66 is: 422,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,139.35 : 778,507.73 = 306,015.66 : x
  2. Step 2: Convert to fraction form
    564,139.35/778,507.73 = 306,015.66/x
  3. Step 3: Cross multiply
    564,139.35x = 778,507.73 × 306,015.66
  4. Step 4: Simplify right side
    564,139.35x = 238,235,555,280.97
  5. Step 5: Solve for x
    x = 238,235,555,280.97/564,139.35
  6. Step 6: Final answer
    x = 422,299.13

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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.