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Finding the Fourth Proportional to 486,009.40, 729,232.80 and 219,632.80

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Solution

The fourth proportional to 486,009.40, 729,232.80 and 219,632.80 is: 329,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,009.40 : 729,232.80 = 219,632.80 : x
  2. Step 2: Convert to fraction form
    486,009.40/729,232.80 = 219,632.80/x
  3. Step 3: Cross multiply
    486,009.40x = 729,232.80 × 219,632.80
  4. Step 4: Simplify right side
    486,009.40x = 160,163,441,715.84
  5. Step 5: Solve for x
    x = 160,163,441,715.84/486,009.40
  6. Step 6: Final answer
    x = 329,548.03

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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.