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Finding the Fourth Proportional to 378,116.84, 521,483.46 and 227,184.68

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Solution

The fourth proportional to 378,116.84, 521,483.46 and 227,184.68 is: 313,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,116.84 : 521,483.46 = 227,184.68 : x
  2. Step 2: Convert to fraction form
    378,116.84/521,483.46 = 227,184.68/x
  3. Step 3: Cross multiply
    378,116.84x = 521,483.46 × 227,184.68
  4. Step 4: Simplify right side
    378,116.84x = 118,473,052,985.39
  5. Step 5: Solve for x
    x = 118,473,052,985.39/378,116.84
  6. Step 6: Final answer
    x = 313,323.93

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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.