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Finding the Fourth Proportional to 790,875, 1,186,067.16 and 285,370.20

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Solution

The fourth proportional to 790,875, 1,186,067.16 and 285,370.20 is: 427,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,875 : 1,186,067.16 = 285,370.20 : x
  2. Step 2: Convert to fraction form
    790,875/1,186,067.16 = 285,370.20/x
  3. Step 3: Cross multiply
    790,875x = 1,186,067.16 × 285,370.20
  4. Step 4: Simplify right side
    790,875x = 338,468,222,662.63
  5. Step 5: Solve for x
    x = 338,468,222,662.63/790,875
  6. Step 6: Final answer
    x = 427,966.77

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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.