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Finding the Fourth Proportional to 553,469.84, 830,540.76 and 221,018

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Solution

The fourth proportional to 553,469.84, 830,540.76 and 221,018 is: 331,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,469.84 : 830,540.76 = 221,018 : x
  2. Step 2: Convert to fraction form
    553,469.84/830,540.76 = 221,018/x
  3. Step 3: Cross multiply
    553,469.84x = 830,540.76 × 221,018
  4. Step 4: Simplify right side
    553,469.84x = 183,564,457,693.68
  5. Step 5: Solve for x
    x = 183,564,457,693.68/553,469.84
  6. Step 6: Final answer
    x = 331,661.18

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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.