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Finding the Fourth Proportional to 447,021.40, 616,637.05 and 265,791.78

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Solution

The fourth proportional to 447,021.40, 616,637.05 and 265,791.78 is: 366,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,021.40 : 616,637.05 = 265,791.78 : x
  2. Step 2: Convert to fraction form
    447,021.40/616,637.05 = 265,791.78/x
  3. Step 3: Cross multiply
    447,021.40x = 616,637.05 × 265,791.78
  4. Step 4: Simplify right side
    447,021.40x = 163,897,059,133.45
  5. Step 5: Solve for x
    x = 163,897,059,133.45/447,021.40
  6. Step 6: Final answer
    x = 366,642.53

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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.