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Finding the Fourth Proportional to 209,952,820.80, 314,929,231.20 and 166,114,843.20

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Solution

The fourth proportional to 209,952,820.80, 314,929,231.20 and 166,114,843.20 is: 249,172,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,820.80 : 314,929,231.20 = 166,114,843.20 : x
  2. Step 2: Convert to fraction form
    209,952,820.80/314,929,231.20 = 166,114,843.20/x
  3. Step 3: Cross multiply
    209,952,820.80x = 314,929,231.20 × 166,114,843.20
  4. Step 4: Simplify right side
    209,952,820.80x = 52,314,419,859,884,544
  5. Step 5: Solve for x
    x = 52,314,419,859,884,544/209,952,820.80
  6. Step 6: Final answer
    x = 249,172,264.80

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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.