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Finding the Fourth Proportional to 551,843.85, 761,820.09 and 361,148.52

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Solution

The fourth proportional to 551,843.85, 761,820.09 and 361,148.52 is: 498,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,843.85 : 761,820.09 = 361,148.52 : x
  2. Step 2: Convert to fraction form
    551,843.85/761,820.09 = 361,148.52/x
  3. Step 3: Cross multiply
    551,843.85x = 761,820.09 × 361,148.52
  4. Step 4: Simplify right side
    551,843.85x = 275,130,198,009.77
  5. Step 5: Solve for x
    x = 275,130,198,009.77/551,843.85
  6. Step 6: Final answer
    x = 498,565.31

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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.