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Finding the Fourth Proportional to 378,490.98, 567,769.26 and 138,670.02

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Solution

The fourth proportional to 378,490.98, 567,769.26 and 138,670.02 is: 208,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,490.98 : 567,769.26 = 138,670.02 : x
  2. Step 2: Convert to fraction form
    378,490.98/567,769.26 = 138,670.02/x
  3. Step 3: Cross multiply
    378,490.98x = 567,769.26 × 138,670.02
  4. Step 4: Simplify right side
    378,490.98x = 78,732,574,639.59
  5. Step 5: Solve for x
    x = 78,732,574,639.59/378,490.98
  6. Step 6: Final answer
    x = 208,017.04

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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.