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Finding the Fourth Proportional to 553,494.36, 763,737.86 and 311,761.64

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Solution

The fourth proportional to 553,494.36, 763,737.86 and 311,761.64 is: 430,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,494.36 : 763,737.86 = 311,761.64 : x
  2. Step 2: Convert to fraction form
    553,494.36/763,737.86 = 311,761.64/x
  3. Step 3: Cross multiply
    553,494.36x = 763,737.86 × 311,761.64
  4. Step 4: Simplify right side
    553,494.36x = 238,104,167,763.69
  5. Step 5: Solve for x
    x = 238,104,167,763.69/553,494.36
  6. Step 6: Final answer
    x = 430,183.55

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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.