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Finding the Fourth Proportional to 500,558.64, 690,820.45 and 285,730.99

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Solution

The fourth proportional to 500,558.64, 690,820.45 and 285,730.99 is: 394,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,558.64 : 690,820.45 = 285,730.99 : x
  2. Step 2: Convert to fraction form
    500,558.64/690,820.45 = 285,730.99/x
  3. Step 3: Cross multiply
    500,558.64x = 690,820.45 × 285,730.99
  4. Step 4: Simplify right side
    500,558.64x = 197,388,812,535.23
  5. Step 5: Solve for x
    x = 197,388,812,535.23/500,558.64
  6. Step 6: Final answer
    x = 394,337.04

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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.