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Finding the Fourth Proportional to 372,005.74, 513,408 and 210,843.46

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Solution

The fourth proportional to 372,005.74, 513,408 and 210,843.46 is: 290,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,005.74 : 513,408 = 210,843.46 : x
  2. Step 2: Convert to fraction form
    372,005.74/513,408 = 210,843.46/x
  3. Step 3: Cross multiply
    372,005.74x = 513,408 × 210,843.46
  4. Step 4: Simplify right side
    372,005.74x = 108,248,719,111.68
  5. Step 5: Solve for x
    x = 108,248,719,111.68/372,005.74
  6. Step 6: Final answer
    x = 290,986.69

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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.