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Finding the Fourth Proportional to 315,465.44, 472,663.52 and 190,544

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Solution

The fourth proportional to 315,465.44, 472,663.52 and 190,544 is: 285,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,465.44 : 472,663.52 = 190,544 : x
  2. Step 2: Convert to fraction form
    315,465.44/472,663.52 = 190,544/x
  3. Step 3: Cross multiply
    315,465.44x = 472,663.52 × 190,544
  4. Step 4: Simplify right side
    315,465.44x = 90,063,197,754.88
  5. Step 5: Solve for x
    x = 90,063,197,754.88/315,465.44
  6. Step 6: Final answer
    x = 285,493.07

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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.