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Finding the Fourth Proportional to 786,240, 1,179,360 and 260,928

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Solution

The fourth proportional to 786,240, 1,179,360 and 260,928 is: 391,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,240 : 1,179,360 = 260,928 : x
  2. Step 2: Convert to fraction form
    786,240/1,179,360 = 260,928/x
  3. Step 3: Cross multiply
    786,240x = 1,179,360 × 260,928
  4. Step 4: Simplify right side
    786,240x = 307,728,046,080
  5. Step 5: Solve for x
    x = 307,728,046,080/786,240
  6. Step 6: Final answer
    x = 391,392

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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.