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Finding the Fourth Proportional to 375,403.68, 518,065.43 and 214,255.48

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Solution

The fourth proportional to 375,403.68, 518,065.43 and 214,255.48 is: 295,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,403.68 : 518,065.43 = 214,255.48 : x
  2. Step 2: Convert to fraction form
    375,403.68/518,065.43 = 214,255.48/x
  3. Step 3: Cross multiply
    375,403.68x = 518,065.43 × 214,255.48
  4. Step 4: Simplify right side
    375,403.68x = 110,998,357,376.06
  5. Step 5: Solve for x
    x = 110,998,357,376.06/375,403.68
  6. Step 6: Final answer
    x = 295,677.33

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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.