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Finding the Fourth Proportional to 315,091.74, 472,847.76 and 163,428.60

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Solution

The fourth proportional to 315,091.74, 472,847.76 and 163,428.60 is: 245,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,091.74 : 472,847.76 = 163,428.60 : x
  2. Step 2: Convert to fraction form
    315,091.74/472,847.76 = 163,428.60/x
  3. Step 3: Cross multiply
    315,091.74x = 472,847.76 × 163,428.60
  4. Step 4: Simplify right side
    315,091.74x = 77,276,847,429.94
  5. Step 5: Solve for x
    x = 77,276,847,429.94/315,091.74
  6. Step 6: Final answer
    x = 245,251.90

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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.