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Finding the Fourth Proportional to 493,189.50, 680,601.51 and 266,835

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Solution

The fourth proportional to 493,189.50, 680,601.51 and 266,835 is: 368,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,189.50 : 680,601.51 = 266,835 : x
  2. Step 2: Convert to fraction form
    493,189.50/680,601.51 = 266,835/x
  3. Step 3: Cross multiply
    493,189.50x = 680,601.51 × 266,835
  4. Step 4: Simplify right side
    493,189.50x = 181,608,303,920.85
  5. Step 5: Solve for x
    x = 181,608,303,920.85/493,189.50
  6. Step 6: Final answer
    x = 368,232.30

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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.