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Finding the Fourth Proportional to 553,451.84, 830,513.76 and 221,000

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Solution

The fourth proportional to 553,451.84, 830,513.76 and 221,000 is: 331,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,451.84 : 830,513.76 = 221,000 : x
  2. Step 2: Convert to fraction form
    553,451.84/830,513.76 = 221,000/x
  3. Step 3: Cross multiply
    553,451.84x = 830,513.76 × 221,000
  4. Step 4: Simplify right side
    553,451.84x = 183,543,540,960
  5. Step 5: Solve for x
    x = 183,543,540,960/553,451.84
  6. Step 6: Final answer
    x = 331,634.17

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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.