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Finding the Fourth Proportional to 553,468.84, 830,539.26 and 221,017

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Solution

The fourth proportional to 553,468.84, 830,539.26 and 221,017 is: 331,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,468.84 : 830,539.26 = 221,017 : x
  2. Step 2: Convert to fraction form
    553,468.84/830,539.26 = 221,017/x
  3. Step 3: Cross multiply
    553,468.84x = 830,539.26 × 221,017
  4. Step 4: Simplify right side
    553,468.84x = 183,563,295,627.42
  5. Step 5: Solve for x
    x = 183,563,295,627.42/553,468.84
  6. Step 6: Final answer
    x = 331,659.68

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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.