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Finding the Fourth Proportional to 315,114.56, 472,881.92 and 163,451.44

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Solution

The fourth proportional to 315,114.56, 472,881.92 and 163,451.44 is: 245,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,114.56 : 472,881.92 = 163,451.44 : x
  2. Step 2: Convert to fraction form
    315,114.56/472,881.92 = 163,451.44/x
  3. Step 3: Cross multiply
    315,114.56x = 472,881.92 × 163,451.44
  4. Step 4: Simplify right side
    315,114.56x = 77,293,230,773.96
  5. Step 5: Solve for x
    x = 77,293,230,773.96/315,114.56
  6. Step 6: Final answer
    x = 245,286.13

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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.