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Finding the Fourth Proportional to 475,906.92, 714,047.30 and 209,480.66

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Solution

The fourth proportional to 475,906.92, 714,047.30 and 209,480.66 is: 314,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,906.92 : 714,047.30 = 209,480.66 : x
  2. Step 2: Convert to fraction form
    475,906.92/714,047.30 = 209,480.66/x
  3. Step 3: Cross multiply
    475,906.92x = 714,047.30 × 209,480.66
  4. Step 4: Simplify right side
    475,906.92x = 149,579,096,512.55
  5. Step 5: Solve for x
    x = 149,579,096,512.55/475,906.92
  6. Step 6: Final answer
    x = 314,303.26

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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.