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Finding the Fourth Proportional to 477,156.81, 716,682.41 and 285,400.65

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Solution

The fourth proportional to 477,156.81, 716,682.41 and 285,400.65 is: 428,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,156.81 : 716,682.41 = 285,400.65 : x
  2. Step 2: Convert to fraction form
    477,156.81/716,682.41 = 285,400.65/x
  3. Step 3: Cross multiply
    477,156.81x = 716,682.41 × 285,400.65
  4. Step 4: Simplify right side
    477,156.81x = 204,541,624,230.56
  5. Step 5: Solve for x
    x = 204,541,624,230.56/477,156.81
  6. Step 6: Final answer
    x = 428,667.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.