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Finding the Fourth Proportional to 682,107.86, 941,375.39 and 509,726.50

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Solution

The fourth proportional to 682,107.86, 941,375.39 and 509,726.50 is: 703,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,107.86 : 941,375.39 = 509,726.50 : x
  2. Step 2: Convert to fraction form
    682,107.86/941,375.39 = 509,726.50/x
  3. Step 3: Cross multiply
    682,107.86x = 941,375.39 × 509,726.50
  4. Step 4: Simplify right side
    682,107.86x = 479,843,977,828.76
  5. Step 5: Solve for x
    x = 479,843,977,828.76/682,107.86
  6. Step 6: Final answer
    x = 703,472.29

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1.5x scale

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.