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Finding the Fourth Proportional to 500,226, 690,377.76 and 285,316.80

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Solution

The fourth proportional to 500,226, 690,377.76 and 285,316.80 is: 393,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,226 : 690,377.76 = 285,316.80 : x
  2. Step 2: Convert to fraction form
    500,226/690,377.76 = 285,316.80/x
  3. Step 3: Cross multiply
    500,226x = 690,377.76 × 285,316.80
  4. Step 4: Simplify right side
    500,226x = 196,976,373,274.37
  5. Step 5: Solve for x
    x = 196,976,373,274.37/500,226
  6. Step 6: Final answer
    x = 393,774.76

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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.