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Finding the Fourth Proportional to 564,405.96, 778,876.16 and 306,276.41

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Solution

The fourth proportional to 564,405.96, 778,876.16 and 306,276.41 is: 422,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,405.96 : 778,876.16 = 306,276.41 : x
  2. Step 2: Convert to fraction form
    564,405.96/778,876.16 = 306,276.41/x
  3. Step 3: Cross multiply
    564,405.96x = 778,876.16 × 306,276.41
  4. Step 4: Simplify right side
    564,405.96x = 238,551,390,154.02
  5. Step 5: Solve for x
    x = 238,551,390,154.02/564,405.96
  6. Step 6: Final answer
    x = 422,659.23

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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.