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Finding the Fourth Proportional to 551,364.60, 827,067.96 and 172,320.24

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Solution

The fourth proportional to 551,364.60, 827,067.96 and 172,320.24 is: 258,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,364.60 : 827,067.96 = 172,320.24 : x
  2. Step 2: Convert to fraction form
    551,364.60/827,067.96 = 172,320.24/x
  3. Step 3: Cross multiply
    551,364.60x = 827,067.96 × 172,320.24
  4. Step 4: Simplify right side
    551,364.60x = 142,520,549,363.51
  5. Step 5: Solve for x
    x = 142,520,549,363.51/551,364.60
  6. Step 6: Final answer
    x = 258,486.94

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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.