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Finding the Fourth Proportional to 553,568.22, 763,920.72 and 311,928.66

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Solution

The fourth proportional to 553,568.22, 763,920.72 and 311,928.66 is: 430,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,568.22 : 763,920.72 = 311,928.66 : x
  2. Step 2: Convert to fraction form
    553,568.22/763,920.72 = 311,928.66/x
  3. Step 3: Cross multiply
    553,568.22x = 763,920.72 × 311,928.66
  4. Step 4: Simplify right side
    553,568.22x = 238,288,766,535.84
  5. Step 5: Solve for x
    x = 238,288,766,535.84/553,568.22
  6. Step 6: Final answer
    x = 430,459.62

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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.