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Finding the Fourth Proportional to 378,159.30, 567,200.55 and 128,837.70

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Solution

The fourth proportional to 378,159.30, 567,200.55 and 128,837.70 is: 193,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,159.30 : 567,200.55 = 128,837.70 : x
  2. Step 2: Convert to fraction form
    378,159.30/567,200.55 = 128,837.70/x
  3. Step 3: Cross multiply
    378,159.30x = 567,200.55 × 128,837.70
  4. Step 4: Simplify right side
    378,159.30x = 73,076,814,300.74
  5. Step 5: Solve for x
    x = 73,076,814,300.74/378,159.30
  6. Step 6: Final answer
    x = 193,243.47

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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.