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Finding the Fourth Proportional to 387,659.82, 534,892.14 and 226,483.74

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Solution

The fourth proportional to 387,659.82, 534,892.14 and 226,483.74 is: 312,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,659.82 : 534,892.14 = 226,483.74 : x
  2. Step 2: Convert to fraction form
    387,659.82/534,892.14 = 226,483.74/x
  3. Step 3: Cross multiply
    387,659.82x = 534,892.14 × 226,483.74
  4. Step 4: Simplify right side
    387,659.82x = 121,144,373,213.12
  5. Step 5: Solve for x
    x = 121,144,373,213.12/387,659.82
  6. Step 6: Final answer
    x = 312,501.75

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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.