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Finding the Fourth Proportional to 1,040,338, 1,560,507 and 292,384

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Solution

The fourth proportional to 1,040,338, 1,560,507 and 292,384 is: 438,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,338 : 1,560,507 = 292,384 : x
  2. Step 2: Convert to fraction form
    1,040,338/1,560,507 = 292,384/x
  3. Step 3: Cross multiply
    1,040,338x = 1,560,507 × 292,384
  4. Step 4: Simplify right side
    1,040,338x = 456,267,278,688
  5. Step 5: Solve for x
    x = 456,267,278,688/1,040,338
  6. Step 6: Final answer
    x = 438,576

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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.