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Finding the Fourth Proportional to 314,310.72, 433,713.28 and 185,240.80

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Solution

The fourth proportional to 314,310.72, 433,713.28 and 185,240.80 is: 255,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,310.72 : 433,713.28 = 185,240.80 : x
  2. Step 2: Convert to fraction form
    314,310.72/433,713.28 = 185,240.80/x
  3. Step 3: Cross multiply
    314,310.72x = 433,713.28 × 185,240.80
  4. Step 4: Simplify right side
    314,310.72x = 80,341,394,957.82
  5. Step 5: Solve for x
    x = 80,341,394,957.82/314,310.72
  6. Step 6: Final answer
    x = 255,611.37

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1.5x scale

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.