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Finding the Fourth Proportional to 314,405.82, 433,989.36 and 187,078.68

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Solution

The fourth proportional to 314,405.82, 433,989.36 and 187,078.68 is: 258,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,405.82 : 433,989.36 = 187,078.68 : x
  2. Step 2: Convert to fraction form
    314,405.82/433,989.36 = 187,078.68/x
  3. Step 3: Cross multiply
    314,405.82x = 433,989.36 × 187,078.68
  4. Step 4: Simplify right side
    314,405.82x = 81,190,156,602.84
  5. Step 5: Solve for x
    x = 81,190,156,602.84/314,405.82
  6. Step 6: Final answer
    x = 258,233.63

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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.