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Finding the Fourth Proportional to 269,480,908.40, 404,410,319.40 and 172,672,041.20

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Solution

The fourth proportional to 269,480,908.40, 404,410,319.40 and 172,672,041.20 is: 259,129,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,480,908.40 : 404,410,319.40 = 172,672,041.20 : x
  2. Step 2: Convert to fraction form
    269,480,908.40/404,410,319.40 = 172,672,041.20/x
  3. Step 3: Cross multiply
    269,480,908.40x = 404,410,319.40 × 172,672,041.20
  4. Step 4: Simplify right side
    269,480,908.40x = 69,830,355,333,141,952
  5. Step 5: Solve for x
    x = 69,830,355,333,141,952/269,480,908.40
  6. Step 6: Final answer
    x = 259,129,137.38

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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.