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Finding the Fourth Proportional to 314,874.72, 472,273.20 and 137,504.16

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Solution

The fourth proportional to 314,874.72, 472,273.20 and 137,504.16 is: 206,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,874.72 : 472,273.20 = 137,504.16 : x
  2. Step 2: Convert to fraction form
    314,874.72/472,273.20 = 137,504.16/x
  3. Step 3: Cross multiply
    314,874.72x = 472,273.20 × 137,504.16
  4. Step 4: Simplify right side
    314,874.72x = 64,939,529,656.51
  5. Step 5: Solve for x
    x = 64,939,529,656.51/314,874.72
  6. Step 6: Final answer
    x = 206,239.26

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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.