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Finding the Fourth Proportional to 313,776.87, 471,055.32 and 312,338.31

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Solution

The fourth proportional to 313,776.87, 471,055.32 and 312,338.31 is: 468,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,776.87 : 471,055.32 = 312,338.31 : x
  2. Step 2: Convert to fraction form
    313,776.87/471,055.32 = 312,338.31/x
  3. Step 3: Cross multiply
    313,776.87x = 471,055.32 × 312,338.31
  4. Step 4: Simplify right side
    313,776.87x = 147,128,622,565.31
  5. Step 5: Solve for x
    x = 147,128,622,565.31/313,776.87
  6. Step 6: Final answer
    x = 468,895.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.