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Finding the Fourth Proportional to 500,105.78, 750,182.88 and 163,145.78

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Solution

The fourth proportional to 500,105.78, 750,182.88 and 163,145.78 is: 244,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,105.78 : 750,182.88 = 163,145.78 : x
  2. Step 2: Convert to fraction form
    500,105.78/750,182.88 = 163,145.78/x
  3. Step 3: Cross multiply
    500,105.78x = 750,182.88 × 163,145.78
  4. Step 4: Simplify right side
    500,105.78x = 122,389,171,100.25
  5. Step 5: Solve for x
    x = 122,389,171,100.25/500,105.78
  6. Step 6: Final answer
    x = 244,726.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.