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Finding the Fourth Proportional to 458,193.86, 687,014.57 and 205,428.63

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Solution

The fourth proportional to 458,193.86, 687,014.57 and 205,428.63 is: 308,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,193.86 : 687,014.57 = 205,428.63 : x
  2. Step 2: Convert to fraction form
    458,193.86/687,014.57 = 205,428.63/x
  3. Step 3: Cross multiply
    458,193.86x = 687,014.57 × 205,428.63
  4. Step 4: Simplify right side
    458,193.86x = 141,132,462,418.71
  5. Step 5: Solve for x
    x = 141,132,462,418.71/458,193.86
  6. Step 6: Final answer
    x = 308,019.11

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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.