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Finding the Fourth Proportional to 317,317,967.70, 475,976,951.55 and 208,478,850.90

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Solution

The fourth proportional to 317,317,967.70, 475,976,951.55 and 208,478,850.90 is: 312,718,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,317,967.70 : 475,976,951.55 = 208,478,850.90 : x
  2. Step 2: Convert to fraction form
    317,317,967.70/475,976,951.55 = 208,478,850.90/x
  3. Step 3: Cross multiply
    317,317,967.70x = 475,976,951.55 × 208,478,850.90
  4. Step 4: Simplify right side
    317,317,967.70x = 99,231,127,914,028,976
  5. Step 5: Solve for x
    x = 99,231,127,914,028,976/317,317,967.70
  6. Step 6: Final answer
    x = 312,718,276.35

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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.