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Finding the Fourth Proportional to 564,104.55, 778,459.74 and 305,980.85

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Solution

The fourth proportional to 564,104.55, 778,459.74 and 305,980.85 is: 422,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,104.55 : 778,459.74 = 305,980.85 : x
  2. Step 2: Convert to fraction form
    564,104.55/778,459.74 = 305,980.85/x
  3. Step 3: Cross multiply
    564,104.55x = 778,459.74 × 305,980.85
  4. Step 4: Simplify right side
    564,104.55x = 238,193,772,935.98
  5. Step 5: Solve for x
    x = 238,193,772,935.98/564,104.55
  6. Step 6: Final answer
    x = 422,251.11

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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.