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Finding the Fourth Proportional to 576,696.24, 864,432 and 340,150.32

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Solution

The fourth proportional to 576,696.24, 864,432 and 340,150.32 is: 509,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,696.24 : 864,432 = 340,150.32 : x
  2. Step 2: Convert to fraction form
    576,696.24/864,432 = 340,150.32/x
  3. Step 3: Cross multiply
    576,696.24x = 864,432 × 340,150.32
  4. Step 4: Simplify right side
    576,696.24x = 294,036,821,418.24
  5. Step 5: Solve for x
    x = 294,036,821,418.24/576,696.24
  6. Step 6: Final answer
    x = 509,864.29

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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.