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Finding the Fourth Proportional to 566,754.49, 782,126.49 and 312,107.50

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Solution

The fourth proportional to 566,754.49, 782,126.49 and 312,107.50 is: 430,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,754.49 : 782,126.49 = 312,107.50 : x
  2. Step 2: Convert to fraction form
    566,754.49/782,126.49 = 312,107.50/x
  3. Step 3: Cross multiply
    566,754.49x = 782,126.49 × 312,107.50
  4. Step 4: Simplify right side
    566,754.49x = 244,107,543,477.68
  5. Step 5: Solve for x
    x = 244,107,543,477.68/566,754.49
  6. Step 6: Final answer
    x = 430,711.27

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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.