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Finding the Fourth Proportional to 376,909.37, 565,114.10 and 136,994.78

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Solution

The fourth proportional to 376,909.37, 565,114.10 and 136,994.78 is: 205,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,909.37 : 565,114.10 = 136,994.78 : x
  2. Step 2: Convert to fraction form
    376,909.37/565,114.10 = 136,994.78/x
  3. Step 3: Cross multiply
    376,909.37x = 565,114.10 × 136,994.78
  4. Step 4: Simplify right side
    376,909.37x = 77,417,678,293.85
  5. Step 5: Solve for x
    x = 77,417,678,293.85/376,909.37
  6. Step 6: Final answer
    x = 205,401.31

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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.