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Finding the Fourth Proportional to 391,749.42, 540,614.43 and 212,901.42

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Solution

The fourth proportional to 391,749.42, 540,614.43 and 212,901.42 is: 293,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,749.42 : 540,614.43 = 212,901.42 : x
  2. Step 2: Convert to fraction form
    391,749.42/540,614.43 = 212,901.42/x
  3. Step 3: Cross multiply
    391,749.42x = 540,614.43 × 212,901.42
  4. Step 4: Simplify right side
    391,749.42x = 115,097,579,819.49
  5. Step 5: Solve for x
    x = 115,097,579,819.49/391,749.42
  6. Step 6: Final answer
    x = 293,804.08

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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.