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Finding the Fourth Proportional to 564,236.48, 778,641.36 and 306,113

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Solution

The fourth proportional to 564,236.48, 778,641.36 and 306,113 is: 422,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,236.48 : 778,641.36 = 306,113 : x
  2. Step 2: Convert to fraction form
    564,236.48/778,641.36 = 306,113/x
  3. Step 3: Cross multiply
    564,236.48x = 778,641.36 × 306,113
  4. Step 4: Simplify right side
    564,236.48x = 238,352,242,633.68
  5. Step 5: Solve for x
    x = 238,352,242,633.68/564,236.48
  6. Step 6: Final answer
    x = 422,433.24

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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.