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Finding the Fourth Proportional to 458,274.60, 687,135.78 and 205,509.42

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Solution

The fourth proportional to 458,274.60, 687,135.78 and 205,509.42 is: 308,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,274.60 : 687,135.78 = 205,509.42 : x
  2. Step 2: Convert to fraction form
    458,274.60/687,135.78 = 205,509.42/x
  3. Step 3: Cross multiply
    458,274.60x = 687,135.78 × 205,509.42
  4. Step 4: Simplify right side
    458,274.60x = 141,212,875,609.05
  5. Step 5: Solve for x
    x = 141,212,875,609.05/458,274.60
  6. Step 6: Final answer
    x = 308,140.31

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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.