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Finding the Fourth Proportional to 369,552.92, 509,982.90 and 199,787

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Solution

The fourth proportional to 369,552.92, 509,982.90 and 199,787 is: 275,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,552.92 : 509,982.90 = 199,787 : x
  2. Step 2: Convert to fraction form
    369,552.92/509,982.90 = 199,787/x
  3. Step 3: Cross multiply
    369,552.92x = 509,982.90 × 199,787
  4. Step 4: Simplify right side
    369,552.92x = 101,887,953,642.30
  5. Step 5: Solve for x
    x = 101,887,953,642.30/369,552.92
  6. Step 6: Final answer
    x = 275,705.99

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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.