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Finding the Fourth Proportional to 315,032.44, 472,014.06 and 190,111

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Solution

The fourth proportional to 315,032.44, 472,014.06 and 190,111 is: 284,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,032.44 : 472,014.06 = 190,111 : x
  2. Step 2: Convert to fraction form
    315,032.44/472,014.06 = 190,111/x
  3. Step 3: Cross multiply
    315,032.44x = 472,014.06 × 190,111
  4. Step 4: Simplify right side
    315,032.44x = 89,735,064,960.66
  5. Step 5: Solve for x
    x = 89,735,064,960.66/315,032.44
  6. Step 6: Final answer
    x = 284,843.89

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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.