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Finding the Fourth Proportional to 376,790.40, 565,841.70 and 199,643.40

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Solution

The fourth proportional to 376,790.40, 565,841.70 and 199,643.40 is: 299,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,790.40 : 565,841.70 = 199,643.40 : x
  2. Step 2: Convert to fraction form
    376,790.40/565,841.70 = 199,643.40/x
  3. Step 3: Cross multiply
    376,790.40x = 565,841.70 × 199,643.40
  4. Step 4: Simplify right side
    376,790.40x = 112,966,560,849.78
  5. Step 5: Solve for x
    x = 112,966,560,849.78/376,790.40
  6. Step 6: Final answer
    x = 299,812.74

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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.