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Finding the Fourth Proportional to 458,151.09, 687,455.51 and 205,612.12

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Solution

The fourth proportional to 458,151.09, 687,455.51 and 205,612.12 is: 308,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,151.09 : 687,455.51 = 205,612.12 : x
  2. Step 2: Convert to fraction form
    458,151.09/687,455.51 = 205,612.12/x
  3. Step 3: Cross multiply
    458,151.09x = 687,455.51 × 205,612.12
  4. Step 4: Simplify right side
    458,151.09x = 141,349,184,648.04
  5. Step 5: Solve for x
    x = 141,349,184,648.04/458,151.09
  6. Step 6: Final answer
    x = 308,520.90

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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.