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Finding the Fourth Proportional to 458,307.86, 687,185.51 and 205,542.63

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Solution

The fourth proportional to 458,307.86, 687,185.51 and 205,542.63 is: 308,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,307.86 : 687,185.51 = 205,542.63 : x
  2. Step 2: Convert to fraction form
    458,307.86/687,185.51 = 205,542.63/x
  3. Step 3: Cross multiply
    458,307.86x = 687,185.51 × 205,542.63
  4. Step 4: Simplify right side
    458,307.86x = 141,245,915,995.58
  5. Step 5: Solve for x
    x = 141,245,915,995.58/458,307.86
  6. Step 6: Final answer
    x = 308,190.04

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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.