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Finding the Fourth Proportional to 300,638.91, 413,937.50 and 255,222.75

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Solution

The fourth proportional to 300,638.91, 413,937.50 and 255,222.75 is: 351,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,638.91 : 413,937.50 = 255,222.75 : x
  2. Step 2: Convert to fraction form
    300,638.91/413,937.50 = 255,222.75/x
  3. Step 3: Cross multiply
    300,638.91x = 413,937.50 × 255,222.75
  4. Step 4: Simplify right side
    300,638.91x = 105,646,265,802.01
  5. Step 5: Solve for x
    x = 105,646,265,802.01/300,638.91
  6. Step 6: Final answer
    x = 351,405.83

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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.