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Finding the Fourth Proportional to 313,296.80, 432,574.32 and 192,600

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Solution

The fourth proportional to 313,296.80, 432,574.32 and 192,600 is: 265,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,296.80 : 432,574.32 = 192,600 : x
  2. Step 2: Convert to fraction form
    313,296.80/432,574.32 = 192,600/x
  3. Step 3: Cross multiply
    313,296.80x = 432,574.32 × 192,600
  4. Step 4: Simplify right side
    313,296.80x = 83,313,814,032
  5. Step 5: Solve for x
    x = 83,313,814,032/313,296.80
  6. Step 6: Final answer
    x = 265,926.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.