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Finding the Fourth Proportional to 458,535.78, 687,940.29 and 218,829.60

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Solution

The fourth proportional to 458,535.78, 687,940.29 and 218,829.60 is: 328,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,535.78 : 687,940.29 = 218,829.60 : x
  2. Step 2: Convert to fraction form
    458,535.78/687,940.29 = 218,829.60/x
  3. Step 3: Cross multiply
    458,535.78x = 687,940.29 × 218,829.60
  4. Step 4: Simplify right side
    458,535.78x = 150,541,698,484.58
  5. Step 5: Solve for x
    x = 150,541,698,484.58/458,535.78
  6. Step 6: Final answer
    x = 328,309.60

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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.