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Finding the Fourth Proportional to 851,850, 1,277,400.78 and 318,997.31

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Solution

The fourth proportional to 851,850, 1,277,400.78 and 318,997.31 is: 478,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,850 : 1,277,400.78 = 318,997.31 : x
  2. Step 2: Convert to fraction form
    851,850/1,277,400.78 = 318,997.31/x
  3. Step 3: Cross multiply
    851,850x = 1,277,400.78 × 318,997.31
  4. Step 4: Simplify right side
    851,850x = 407,487,406,224.90
  5. Step 5: Solve for x
    x = 407,487,406,224.90/851,850
  6. Step 6: Final answer
    x = 478,355.82

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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.