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Finding the Fourth Proportional to 840,842, 1,260,513.04 and 308,238.69

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Solution

The fourth proportional to 840,842, 1,260,513.04 and 308,238.69 is: 462,083.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,842 : 1,260,513.04 = 308,238.69 : x
  2. Step 2: Convert to fraction form
    840,842/1,260,513.04 = 308,238.69/x
  3. Step 3: Cross multiply
    840,842x = 1,260,513.04 × 308,238.69
  4. Step 4: Simplify right side
    840,842x = 388,538,888,177.52
  5. Step 5: Solve for x
    x = 388,538,888,177.52/840,842
  6. Step 6: Final answer
    x = 462,083.11

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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.