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Finding the Fourth Proportional to 564,314.11, 778,751.81 and 306,189.97

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Solution

The fourth proportional to 564,314.11, 778,751.81 and 306,189.97 is: 422,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,314.11 : 778,751.81 = 306,189.97 : x
  2. Step 2: Convert to fraction form
    564,314.11/778,751.81 = 306,189.97/x
  3. Step 3: Cross multiply
    564,314.11x = 778,751.81 × 306,189.97
  4. Step 4: Simplify right side
    564,314.11x = 238,445,993,341.35
  5. Step 5: Solve for x
    x = 238,445,993,341.35/564,314.11
  6. Step 6: Final answer
    x = 422,541.26

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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.