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Finding the Fourth Proportional to 458,203.14, 687,028.50 and 205,437.96

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Solution

The fourth proportional to 458,203.14, 687,028.50 and 205,437.96 is: 308,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,203.14 : 687,028.50 = 205,437.96 : x
  2. Step 2: Convert to fraction form
    458,203.14/687,028.50 = 205,437.96/x
  3. Step 3: Cross multiply
    458,203.14x = 687,028.50 × 205,437.96
  4. Step 4: Simplify right side
    458,203.14x = 141,141,733,501.86
  5. Step 5: Solve for x
    x = 141,141,733,501.86/458,203.14
  6. Step 6: Final answer
    x = 308,033.10

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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.