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Finding the Fourth Proportional to 458,336.24, 687,523 and 218,326.76

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Solution

The fourth proportional to 458,336.24, 687,523 and 218,326.76 is: 327,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,336.24 : 687,523 = 218,326.76 : x
  2. Step 2: Convert to fraction form
    458,336.24/687,523 = 218,326.76/x
  3. Step 3: Cross multiply
    458,336.24x = 687,523 × 218,326.76
  4. Step 4: Simplify right side
    458,336.24x = 150,104,669,015.48
  5. Step 5: Solve for x
    x = 150,104,669,015.48/458,336.24
  6. Step 6: Final answer
    x = 327,499.02

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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.