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Finding the Fourth Proportional to 313,908.31, 470,399.32 and 185,692.02

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Solution

The fourth proportional to 313,908.31, 470,399.32 and 185,692.02 is: 278,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,908.31 : 470,399.32 = 185,692.02 : x
  2. Step 2: Convert to fraction form
    313,908.31/470,399.32 = 185,692.02/x
  3. Step 3: Cross multiply
    313,908.31x = 470,399.32 × 185,692.02
  4. Step 4: Simplify right side
    313,908.31x = 87,349,400,250.80
  5. Step 5: Solve for x
    x = 87,349,400,250.80/313,908.31
  6. Step 6: Final answer
    x = 278,264.06

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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.