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Finding the Fourth Proportional to 331,503.14, 457,354.32 and 216,847.23

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Solution

The fourth proportional to 331,503.14, 457,354.32 and 216,847.23 is: 299,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,503.14 : 457,354.32 = 216,847.23 : x
  2. Step 2: Convert to fraction form
    331,503.14/457,354.32 = 216,847.23/x
  3. Step 3: Cross multiply
    331,503.14x = 457,354.32 × 216,847.23
  4. Step 4: Simplify right side
    331,503.14x = 99,176,017,420.53
  5. Step 5: Solve for x
    x = 99,176,017,420.53/331,503.14
  6. Step 6: Final answer
    x = 299,170.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.