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Finding the Fourth Proportional to 313,544.64, 469,724.16 and 243,078.72

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Solution

The fourth proportional to 313,544.64, 469,724.16 and 243,078.72 is: 364,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,544.64 : 469,724.16 = 243,078.72 : x
  2. Step 2: Convert to fraction form
    313,544.64/469,724.16 = 243,078.72/x
  3. Step 3: Cross multiply
    313,544.64x = 469,724.16 × 243,078.72
  4. Step 4: Simplify right side
    313,544.64x = 114,179,947,565.88
  5. Step 5: Solve for x
    x = 114,179,947,565.88/313,544.64
  6. Step 6: Final answer
    x = 364,158.51

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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.