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Finding the Fourth Proportional to 209,954,851.80, 314,932,277.70 and 166,116,874.20

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Solution

The fourth proportional to 209,954,851.80, 314,932,277.70 and 166,116,874.20 is: 249,175,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,954,851.80 : 314,932,277.70 = 166,116,874.20 : x
  2. Step 2: Convert to fraction form
    209,954,851.80/314,932,277.70 = 166,116,874.20/x
  3. Step 3: Cross multiply
    209,954,851.80x = 314,932,277.70 × 166,116,874.20
  4. Step 4: Simplify right side
    209,954,851.80x = 52,315,565,556,210,360
  5. Step 5: Solve for x
    x = 52,315,565,556,210,360/209,954,851.80
  6. Step 6: Final answer
    x = 249,175,311.30

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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.