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Finding the Fourth Proportional to 511,845.38, 706,349.08 and 282,402.66

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Solution

The fourth proportional to 511,845.38, 706,349.08 and 282,402.66 is: 389,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,845.38 : 706,349.08 = 282,402.66 : x
  2. Step 2: Convert to fraction form
    511,845.38/706,349.08 = 282,402.66/x
  3. Step 3: Cross multiply
    511,845.38x = 706,349.08 × 282,402.66
  4. Step 4: Simplify right side
    511,845.38x = 199,474,859,080.55
  5. Step 5: Solve for x
    x = 199,474,859,080.55/511,845.38
  6. Step 6: Final answer
    x = 389,717.03

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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.