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Finding the Fourth Proportional to 209,969,863.40, 314,954,795.10 and 166,604,277.80

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Solution

The fourth proportional to 209,969,863.40, 314,954,795.10 and 166,604,277.80 is: 249,906,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969,863.40 : 314,954,795.10 = 166,604,277.80 : x
  2. Step 2: Convert to fraction form
    209,969,863.40/314,954,795.10 = 166,604,277.80/x
  3. Step 3: Cross multiply
    209,969,863.40x = 314,954,795.10 × 166,604,277.80
  4. Step 4: Simplify right side
    209,969,863.40x = 52,472,816,177,282,488
  5. Step 5: Solve for x
    x = 52,472,816,177,282,488/209,969,863.40
  6. Step 6: Final answer
    x = 249,906,416.70

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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.