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Finding the Fourth Proportional to 647,744.16, 971,588.70 and 221,318.22

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Solution

The fourth proportional to 647,744.16, 971,588.70 and 221,318.22 is: 331,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,744.16 : 971,588.70 = 221,318.22 : x
  2. Step 2: Convert to fraction form
    647,744.16/971,588.70 = 221,318.22/x
  3. Step 3: Cross multiply
    647,744.16x = 971,588.70 × 221,318.22
  4. Step 4: Simplify right side
    647,744.16x = 215,030,281,656.11
  5. Step 5: Solve for x
    x = 215,030,281,656.11/647,744.16
  6. Step 6: Final answer
    x = 331,967.92

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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.