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Finding the Fourth Proportional to 617,976.28, 926,731.14 and 285,319

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Solution

The fourth proportional to 617,976.28, 926,731.14 and 285,319 is: 427,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,976.28 : 926,731.14 = 285,319 : x
  2. Step 2: Convert to fraction form
    617,976.28/926,731.14 = 285,319/x
  3. Step 3: Cross multiply
    617,976.28x = 926,731.14 × 285,319
  4. Step 4: Simplify right side
    617,976.28x = 264,414,002,133.66
  5. Step 5: Solve for x
    x = 264,414,002,133.66/617,976.28
  6. Step 6: Final answer
    x = 427,870.79

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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.