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Finding the Fourth Proportional to 295,244.64, 407,255.76 and 210,389.12

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Solution

The fourth proportional to 295,244.64, 407,255.76 and 210,389.12 is: 290,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,244.64 : 407,255.76 = 210,389.12 : x
  2. Step 2: Convert to fraction form
    295,244.64/407,255.76 = 210,389.12/x
  3. Step 3: Cross multiply
    295,244.64x = 407,255.76 × 210,389.12
  4. Step 4: Simplify right side
    295,244.64x = 85,682,180,961.33
  5. Step 5: Solve for x
    x = 85,682,180,961.33/295,244.64
  6. Step 6: Final answer
    x = 290,207.41

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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.