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Finding the Fourth Proportional to 314,532.80, 434,091.12 and 187,208.80

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Solution

The fourth proportional to 314,532.80, 434,091.12 and 187,208.80 is: 258,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,532.80 : 434,091.12 = 187,208.80 : x
  2. Step 2: Convert to fraction form
    314,532.80/434,091.12 = 187,208.80/x
  3. Step 3: Cross multiply
    314,532.80x = 434,091.12 × 187,208.80
  4. Step 4: Simplify right side
    314,532.80x = 81,265,677,665.86
  5. Step 5: Solve for x
    x = 81,265,677,665.86/314,532.80
  6. Step 6: Final answer
    x = 258,369.49

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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.