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Finding the Fourth Proportional to 378,351.52, 566,896.71 and 265,830.29

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Solution

The fourth proportional to 378,351.52, 566,896.71 and 265,830.29 is: 398,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,351.52 : 566,896.71 = 265,830.29 : x
  2. Step 2: Convert to fraction form
    378,351.52/566,896.71 = 265,830.29/x
  3. Step 3: Cross multiply
    378,351.52x = 566,896.71 × 265,830.29
  4. Step 4: Simplify right side
    378,351.52x = 150,698,319,125.36
  5. Step 5: Solve for x
    x = 150,698,319,125.36/378,351.52
  6. Step 6: Final answer
    x = 398,302.40

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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.