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Finding the Fourth Proportional to 315,388.44, 472,907.64 and 104,911.56

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Solution

The fourth proportional to 315,388.44, 472,907.64 and 104,911.56 is: 157,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,388.44 : 472,907.64 = 104,911.56 : x
  2. Step 2: Convert to fraction form
    315,388.44/472,907.64 = 104,911.56/x
  3. Step 3: Cross multiply
    315,388.44x = 472,907.64 × 104,911.56
  4. Step 4: Simplify right side
    315,388.44x = 49,613,478,248.32
  5. Step 5: Solve for x
    x = 49,613,478,248.32/315,388.44
  6. Step 6: Final answer
    x = 157,309.12

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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.