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Finding the Fourth Proportional to 377,411.30, 565,650.39 and 190,320.74

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Solution

The fourth proportional to 377,411.30, 565,650.39 and 190,320.74 is: 285,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,411.30 : 565,650.39 = 190,320.74 : x
  2. Step 2: Convert to fraction form
    377,411.30/565,650.39 = 190,320.74/x
  3. Step 3: Cross multiply
    377,411.30x = 565,650.39 × 190,320.74
  4. Step 4: Simplify right side
    377,411.30x = 107,655,000,806.09
  5. Step 5: Solve for x
    x = 107,655,000,806.09/377,411.30
  6. Step 6: Final answer
    x = 285,245.83

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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.