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Finding the Fourth Proportional to 369,978.48, 510,570.75 and 200,212.61

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Solution

The fourth proportional to 369,978.48, 510,570.75 and 200,212.61 is: 276,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,978.48 : 510,570.75 = 200,212.61 : x
  2. Step 2: Convert to fraction form
    369,978.48/510,570.75 = 200,212.61/x
  3. Step 3: Cross multiply
    369,978.48x = 510,570.75 × 200,212.61
  4. Step 4: Simplify right side
    369,978.48x = 102,222,700,645.10
  5. Step 5: Solve for x
    x = 102,222,700,645.10/369,978.48
  6. Step 6: Final answer
    x = 276,293.64

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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.