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Finding the Fourth Proportional to 315,107.87, 472,519.17 and 90,416.70

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Solution

The fourth proportional to 315,107.87, 472,519.17 and 90,416.70 is: 135,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107.87 : 472,519.17 = 90,416.70 : x
  2. Step 2: Convert to fraction form
    315,107.87/472,519.17 = 90,416.70/x
  3. Step 3: Cross multiply
    315,107.87x = 472,519.17 × 90,416.70
  4. Step 4: Simplify right side
    315,107.87x = 42,723,624,038.14
  5. Step 5: Solve for x
    x = 42,723,624,038.14/315,107.87
  6. Step 6: Final answer
    x = 135,584.12

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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.