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Finding the Fourth Proportional to 704,544, 1,057,010.40 and 205,908

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Solution

The fourth proportional to 704,544, 1,057,010.40 and 205,908 is: 308,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,544 : 1,057,010.40 = 205,908 : x
  2. Step 2: Convert to fraction form
    704,544/1,057,010.40 = 205,908/x
  3. Step 3: Cross multiply
    704,544x = 1,057,010.40 × 205,908
  4. Step 4: Simplify right side
    704,544x = 217,646,897,443.20
  5. Step 5: Solve for x
    x = 217,646,897,443.20/704,544
  6. Step 6: Final answer
    x = 308,918.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.