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Finding the Fourth Proportional to 372,892.80, 514,560.69 and 209,536.86

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Solution

The fourth proportional to 372,892.80, 514,560.69 and 209,536.86 is: 289,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,892.80 : 514,560.69 = 209,536.86 : x
  2. Step 2: Convert to fraction form
    372,892.80/514,560.69 = 209,536.86/x
  3. Step 3: Cross multiply
    372,892.80x = 514,560.69 × 209,536.86
  4. Step 4: Simplify right side
    372,892.80x = 107,819,431,262.03
  5. Step 5: Solve for x
    x = 107,819,431,262.03/372,892.80
  6. Step 6: Final answer
    x = 289,143.24

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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.