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Finding the Fourth Proportional to 458,049.60, 686,752.47 and 201,760.56

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Solution

The fourth proportional to 458,049.60, 686,752.47 and 201,760.56 is: 302,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,049.60 : 686,752.47 = 201,760.56 : x
  2. Step 2: Convert to fraction form
    458,049.60/686,752.47 = 201,760.56/x
  3. Step 3: Cross multiply
    458,049.60x = 686,752.47 × 201,760.56
  4. Step 4: Simplify right side
    458,049.60x = 138,559,562,928.58
  5. Step 5: Solve for x
    x = 138,559,562,928.58/458,049.60
  6. Step 6: Final answer
    x = 302,499.04

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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.