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Finding the Fourth Proportional to 284,670.73, 426,991.47 and 84,992.77

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Solution

The fourth proportional to 284,670.73, 426,991.47 and 84,992.77 is: 127,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,670.73 : 426,991.47 = 84,992.77 : x
  2. Step 2: Convert to fraction form
    284,670.73/426,991.47 = 84,992.77/x
  3. Step 3: Cross multiply
    284,670.73x = 426,991.47 × 84,992.77
  4. Step 4: Simplify right side
    284,670.73x = 36,291,187,801.67
  5. Step 5: Solve for x
    x = 36,291,187,801.67/284,670.73
  6. Step 6: Final answer
    x = 127,484.79

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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.