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Finding the Fourth Proportional to 826,320, 1,239,687.36 and 235,344

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Solution

The fourth proportional to 826,320, 1,239,687.36 and 235,344 is: 353,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,320 : 1,239,687.36 = 235,344 : x
  2. Step 2: Convert to fraction form
    826,320/1,239,687.36 = 235,344/x
  3. Step 3: Cross multiply
    826,320x = 1,239,687.36 × 235,344
  4. Step 4: Simplify right side
    826,320x = 291,752,982,051.84
  5. Step 5: Solve for x
    x = 291,752,982,051.84/826,320
  6. Step 6: Final answer
    x = 353,075.06

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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.