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Finding the Fourth Proportional to 279,933.40, 420,029.70 and 146,963.80

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Solution

The fourth proportional to 279,933.40, 420,029.70 and 146,963.80 is: 220,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,933.40 : 420,029.70 = 146,963.80 : x
  2. Step 2: Convert to fraction form
    279,933.40/420,029.70 = 146,963.80/x
  3. Step 3: Cross multiply
    279,933.40x = 420,029.70 × 146,963.80
  4. Step 4: Simplify right side
    279,933.40x = 61,729,160,824.86
  5. Step 5: Solve for x
    x = 61,729,160,824.86/279,933.40
  6. Step 6: Final answer
    x = 220,513.74

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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.