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Finding the Fourth Proportional to 372,580.16, 514,144.56 and 202,814

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Solution

The fourth proportional to 372,580.16, 514,144.56 and 202,814 is: 279,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,580.16 : 514,144.56 = 202,814 : x
  2. Step 2: Convert to fraction form
    372,580.16/514,144.56 = 202,814/x
  3. Step 3: Cross multiply
    372,580.16x = 514,144.56 × 202,814
  4. Step 4: Simplify right side
    372,580.16x = 104,275,714,791.84
  5. Step 5: Solve for x
    x = 104,275,714,791.84/372,580.16
  6. Step 6: Final answer
    x = 279,874.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.