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Finding the Fourth Proportional to 313,833.02, 472,457.16 and 285,932.30

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Solution

The fourth proportional to 313,833.02, 472,457.16 and 285,932.30 is: 430,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,833.02 : 472,457.16 = 285,932.30 : x
  2. Step 2: Convert to fraction form
    313,833.02/472,457.16 = 285,932.30/x
  3. Step 3: Cross multiply
    313,833.02x = 472,457.16 × 285,932.30
  4. Step 4: Simplify right side
    313,833.02x = 135,090,762,410.27
  5. Step 5: Solve for x
    x = 135,090,762,410.27/313,833.02
  6. Step 6: Final answer
    x = 430,454.27

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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.