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Finding the Fourth Proportional to 315,236.40, 472,850 and 146,662.44

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Solution

The fourth proportional to 315,236.40, 472,850 and 146,662.44 is: 219,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,236.40 : 472,850 = 146,662.44 : x
  2. Step 2: Convert to fraction form
    315,236.40/472,850 = 146,662.44/x
  3. Step 3: Cross multiply
    315,236.40x = 472,850 × 146,662.44
  4. Step 4: Simplify right side
    315,236.40x = 69,349,334,754
  5. Step 5: Solve for x
    x = 69,349,334,754/315,236.40
  6. Step 6: Final answer
    x = 219,991.52

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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.