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Finding the Fourth Proportional to 409,424.20, 614,222.70 and 128,969.80

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Solution

The fourth proportional to 409,424.20, 614,222.70 and 128,969.80 is: 193,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,424.20 : 614,222.70 = 128,969.80 : x
  2. Step 2: Convert to fraction form
    409,424.20/614,222.70 = 128,969.80/x
  3. Step 3: Cross multiply
    409,424.20x = 614,222.70 × 128,969.80
  4. Step 4: Simplify right side
    409,424.20x = 79,216,178,774.46
  5. Step 5: Solve for x
    x = 79,216,178,774.46/409,424.20
  6. Step 6: Final answer
    x = 193,481.92

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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.