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Finding the Fourth Proportional to 566,891.28, 782,309.91 and 312,242.47

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Solution

The fourth proportional to 566,891.28, 782,309.91 and 312,242.47 is: 430,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,891.28 : 782,309.91 = 312,242.47 : x
  2. Step 2: Convert to fraction form
    566,891.28/782,309.91 = 312,242.47/x
  3. Step 3: Cross multiply
    566,891.28x = 782,309.91 × 312,242.47
  4. Step 4: Simplify right side
    566,891.28x = 244,270,378,603.88
  5. Step 5: Solve for x
    x = 244,270,378,603.88/566,891.28
  6. Step 6: Final answer
    x = 430,894.58

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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.