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Finding the Fourth Proportional to 472,728.49, 652,361.15 and 257,863.94

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Solution

The fourth proportional to 472,728.49, 652,361.15 and 257,863.94 is: 355,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,728.49 : 652,361.15 = 257,863.94 : x
  2. Step 2: Convert to fraction form
    472,728.49/652,361.15 = 257,863.94/x
  3. Step 3: Cross multiply
    472,728.49x = 652,361.15 × 257,863.94
  4. Step 4: Simplify right side
    472,728.49x = 168,220,416,441.93
  5. Step 5: Solve for x
    x = 168,220,416,441.93/472,728.49
  6. Step 6: Final answer
    x = 355,849.96

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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.