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Finding the Fourth Proportional to 323,525,575.80, 485,288,363.70 and 242,904,007.80

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Solution

The fourth proportional to 323,525,575.80, 485,288,363.70 and 242,904,007.80 is: 364,356,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,525,575.80 : 485,288,363.70 = 242,904,007.80 : x
  2. Step 2: Convert to fraction form
    323,525,575.80/485,288,363.70 = 242,904,007.80/x
  3. Step 3: Cross multiply
    323,525,575.80x = 485,288,363.70 × 242,904,007.80
  4. Step 4: Simplify right side
    323,525,575.80x = 117,878,488,481,434,032
  5. Step 5: Solve for x
    x = 117,878,488,481,434,032/323,525,575.80
  6. Step 6: Final answer
    x = 364,356,011.70

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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.