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Finding the Fourth Proportional to 378,424.50, 567,714.65 and 153,784.46

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Solution

The fourth proportional to 378,424.50, 567,714.65 and 153,784.46 is: 230,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,424.50 : 567,714.65 = 153,784.46 : x
  2. Step 2: Convert to fraction form
    378,424.50/567,714.65 = 153,784.46/x
  3. Step 3: Cross multiply
    378,424.50x = 567,714.65 × 153,784.46
  4. Step 4: Simplify right side
    378,424.50x = 87,305,687,276.84
  5. Step 5: Solve for x
    x = 87,305,687,276.84/378,424.50
  6. Step 6: Final answer
    x = 230,708.34

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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.