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Finding the Fourth Proportional to 553,553.20, 830,524.20 and 238,106.80

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Solution

The fourth proportional to 553,553.20, 830,524.20 and 238,106.80 is: 357,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,553.20 : 830,524.20 = 238,106.80 : x
  2. Step 2: Convert to fraction form
    553,553.20/830,524.20 = 238,106.80/x
  3. Step 3: Cross multiply
    553,553.20x = 830,524.20 × 238,106.80
  4. Step 4: Simplify right side
    553,553.20x = 197,753,459,584.56
  5. Step 5: Solve for x
    x = 197,753,459,584.56/553,553.20
  6. Step 6: Final answer
    x = 357,243.82

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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.