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Finding the Fourth Proportional to 523,991, 723,107.58 and 285,527

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Solution

The fourth proportional to 523,991, 723,107.58 and 285,527 is: 394,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,991 : 723,107.58 = 285,527 : x
  2. Step 2: Convert to fraction form
    523,991/723,107.58 = 285,527/x
  3. Step 3: Cross multiply
    523,991x = 723,107.58 × 285,527
  4. Step 4: Simplify right side
    523,991x = 206,466,737,994.66
  5. Step 5: Solve for x
    x = 206,466,737,994.66/523,991
  6. Step 6: Final answer
    x = 394,027.26

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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.