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Finding the Fourth Proportional to 551,712.74, 761,385.96 and 309,994.56

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Solution

The fourth proportional to 551,712.74, 761,385.96 and 309,994.56 is: 427,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,712.74 : 761,385.96 = 309,994.56 : x
  2. Step 2: Convert to fraction form
    551,712.74/761,385.96 = 309,994.56/x
  3. Step 3: Cross multiply
    551,712.74x = 761,385.96 × 309,994.56
  4. Step 4: Simplify right side
    551,712.74x = 236,025,505,660.38
  5. Step 5: Solve for x
    x = 236,025,505,660.38/551,712.74
  6. Step 6: Final answer
    x = 427,805.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.