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Finding the Fourth Proportional to 312,794.88, 469,225.12 and 102,449.22

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Solution

The fourth proportional to 312,794.88, 469,225.12 and 102,449.22 is: 153,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,794.88 : 469,225.12 = 102,449.22 : x
  2. Step 2: Convert to fraction form
    312,794.88/469,225.12 = 102,449.22/x
  3. Step 3: Cross multiply
    312,794.88x = 469,225.12 × 102,449.22
  4. Step 4: Simplify right side
    312,794.88x = 48,071,747,548.41
  5. Step 5: Solve for x
    x = 48,071,747,548.41/312,794.88
  6. Step 6: Final answer
    x = 153,684.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.