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Finding the Fourth Proportional to 240,457, 360,451.10 and 100,255.72

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Solution

The fourth proportional to 240,457, 360,451.10 and 100,255.72 is: 150,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,457 : 360,451.10 = 100,255.72 : x
  2. Step 2: Convert to fraction form
    240,457/360,451.10 = 100,255.72/x
  3. Step 3: Cross multiply
    240,457x = 360,451.10 × 100,255.72
  4. Step 4: Simplify right side
    240,457x = 36,137,284,555.29
  5. Step 5: Solve for x
    x = 36,137,284,555.29/240,457
  6. Step 6: Final answer
    x = 150,285.85

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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.