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Finding the Fourth Proportional to 458,395.11, 687,591.72 and 258,624.81

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Solution

The fourth proportional to 458,395.11, 687,591.72 and 258,624.81 is: 387,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,395.11 : 687,591.72 = 258,624.81 : x
  2. Step 2: Convert to fraction form
    458,395.11/687,591.72 = 258,624.81/x
  3. Step 3: Cross multiply
    458,395.11x = 687,591.72 × 258,624.81
  4. Step 4: Simplify right side
    458,395.11x = 177,828,277,942.57
  5. Step 5: Solve for x
    x = 177,828,277,942.57/458,395.11
  6. Step 6: Final answer
    x = 387,936.68

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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.