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Finding the Fourth Proportional to 551,398.69, 826,509.98 and 314,230.69

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Solution

The fourth proportional to 551,398.69, 826,509.98 and 314,230.69 is: 471,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,398.69 : 826,509.98 = 314,230.69 : x
  2. Step 2: Convert to fraction form
    551,398.69/826,509.98 = 314,230.69/x
  3. Step 3: Cross multiply
    551,398.69x = 826,509.98 × 314,230.69
  4. Step 4: Simplify right side
    551,398.69x = 259,714,801,358.45
  5. Step 5: Solve for x
    x = 259,714,801,358.45/551,398.69
  6. Step 6: Final answer
    x = 471,010.91

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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.