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Finding the Fourth Proportional to 378,753.72, 522,459.64 and 242,739.40

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Solution

The fourth proportional to 378,753.72, 522,459.64 and 242,739.40 is: 334,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,753.72 : 522,459.64 = 242,739.40 : x
  2. Step 2: Convert to fraction form
    378,753.72/522,459.64 = 242,739.40/x
  3. Step 3: Cross multiply
    378,753.72x = 522,459.64 × 242,739.40
  4. Step 4: Simplify right side
    378,753.72x = 126,821,539,537.82
  5. Step 5: Solve for x
    x = 126,821,539,537.82/378,753.72
  6. Step 6: Final answer
    x = 334,839.06

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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.