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Finding the Fourth Proportional to 472,493.87, 652,027.32 and 257,638.13

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Solution

The fourth proportional to 472,493.87, 652,027.32 and 257,638.13 is: 355,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,493.87 : 652,027.32 = 257,638.13 : x
  2. Step 2: Convert to fraction form
    472,493.87/652,027.32 = 257,638.13/x
  3. Step 3: Cross multiply
    472,493.87x = 652,027.32 × 257,638.13
  4. Step 4: Simplify right side
    472,493.87x = 167,987,096,173.58
  5. Step 5: Solve for x
    x = 167,987,096,173.58/472,493.87
  6. Step 6: Final answer
    x = 355,532.86

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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.