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Finding the Fourth Proportional to 553,467.84, 830,537.76 and 221,016

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Solution

The fourth proportional to 553,467.84, 830,537.76 and 221,016 is: 331,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,467.84 : 830,537.76 = 221,016 : x
  2. Step 2: Convert to fraction form
    553,467.84/830,537.76 = 221,016/x
  3. Step 3: Cross multiply
    553,467.84x = 830,537.76 × 221,016
  4. Step 4: Simplify right side
    553,467.84x = 183,562,133,564.16
  5. Step 5: Solve for x
    x = 183,562,133,564.16/553,467.84
  6. Step 6: Final answer
    x = 331,658.17

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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.