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Finding the Fourth Proportional to 756,870, 1,135,305 and 307,835.16

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Solution

The fourth proportional to 756,870, 1,135,305 and 307,835.16 is: 461,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,870 : 1,135,305 = 307,835.16 : x
  2. Step 2: Convert to fraction form
    756,870/1,135,305 = 307,835.16/x
  3. Step 3: Cross multiply
    756,870x = 1,135,305 × 307,835.16
  4. Step 4: Simplify right side
    756,870x = 349,486,796,323.80
  5. Step 5: Solve for x
    x = 349,486,796,323.80/756,870
  6. Step 6: Final answer
    x = 461,752.74

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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.