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Finding the Fourth Proportional to 378,347.36, 521,824 and 242,393.90

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Solution

The fourth proportional to 378,347.36, 521,824 and 242,393.90 is: 334,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,347.36 : 521,824 = 242,393.90 : x
  2. Step 2: Convert to fraction form
    378,347.36/521,824 = 242,393.90/x
  3. Step 3: Cross multiply
    378,347.36x = 521,824 × 242,393.90
  4. Step 4: Simplify right side
    378,347.36x = 126,486,954,473.60
  5. Step 5: Solve for x
    x = 126,486,954,473.60/378,347.36
  6. Step 6: Final answer
    x = 334,314.36

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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.