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Finding the Fourth Proportional to 564,434.16, 778,914.96 and 306,305.52

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Solution

The fourth proportional to 564,434.16, 778,914.96 and 306,305.52 is: 422,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,434.16 : 778,914.96 = 306,305.52 : x
  2. Step 2: Convert to fraction form
    564,434.16/778,914.96 = 306,305.52/x
  3. Step 3: Cross multiply
    564,434.16x = 778,914.96 × 306,305.52
  4. Step 4: Simplify right side
    564,434.16x = 238,585,951,858.58
  5. Step 5: Solve for x
    x = 238,585,951,858.58/564,434.16
  6. Step 6: Final answer
    x = 422,699.35

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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.