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Finding the Fourth Proportional to 313,832.02, 472,455.65 and 285,931.30

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Solution

The fourth proportional to 313,832.02, 472,455.65 and 285,931.30 is: 430,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,832.02 : 472,455.65 = 285,931.30 : x
  2. Step 2: Convert to fraction form
    313,832.02/472,455.65 = 285,931.30/x
  3. Step 3: Cross multiply
    313,832.02x = 472,455.65 × 285,931.30
  4. Step 4: Simplify right side
    313,832.02x = 135,089,858,196.85
  5. Step 5: Solve for x
    x = 135,089,858,196.85/313,832.02
  6. Step 6: Final answer
    x = 430,452.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.