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Finding the Fourth Proportional to 702,540, 1,053,810 and 259,308

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Solution

The fourth proportional to 702,540, 1,053,810 and 259,308 is: 388,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,540 : 1,053,810 = 259,308 : x
  2. Step 2: Convert to fraction form
    702,540/1,053,810 = 259,308/x
  3. Step 3: Cross multiply
    702,540x = 1,053,810 × 259,308
  4. Step 4: Simplify right side
    702,540x = 273,261,363,480
  5. Step 5: Solve for x
    x = 273,261,363,480/702,540
  6. Step 6: Final answer
    x = 388,962

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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.