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Finding the Fourth Proportional to 500,463.42, 690,689.20 and 285,635.93

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Solution

The fourth proportional to 500,463.42, 690,689.20 and 285,635.93 is: 394,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,463.42 : 690,689.20 = 285,635.93 : x
  2. Step 2: Convert to fraction form
    500,463.42/690,689.20 = 285,635.93/x
  3. Step 3: Cross multiply
    500,463.42x = 690,689.20 × 285,635.93
  4. Step 4: Simplify right side
    500,463.42x = 197,285,648,529.51
  5. Step 5: Solve for x
    x = 197,285,648,529.51/500,463.42
  6. Step 6: Final answer
    x = 394,205.93

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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.