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Finding the Fourth Proportional to 458,395.40, 687,733.87 and 218,815.02

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Solution

The fourth proportional to 458,395.40, 687,733.87 and 218,815.02 is: 328,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,395.40 : 687,733.87 = 218,815.02 : x
  2. Step 2: Convert to fraction form
    458,395.40/687,733.87 = 218,815.02/x
  3. Step 3: Cross multiply
    458,395.40x = 687,733.87 × 218,815.02
  4. Step 4: Simplify right side
    458,395.40x = 150,486,500,518.73
  5. Step 5: Solve for x
    x = 150,486,500,518.73/458,395.40
  6. Step 6: Final answer
    x = 328,289.73

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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.