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Finding the Fourth Proportional to 289,881.51, 399,834.09 and 280,127.49

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Solution

The fourth proportional to 289,881.51, 399,834.09 and 280,127.49 is: 386,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881.51 : 399,834.09 = 280,127.49 : x
  2. Step 2: Convert to fraction form
    289,881.51/399,834.09 = 280,127.49/x
  3. Step 3: Cross multiply
    289,881.51x = 399,834.09 × 280,127.49
  4. Step 4: Simplify right side
    289,881.51x = 112,004,520,048.13
  5. Step 5: Solve for x
    x = 112,004,520,048.13/289,881.51
  6. Step 6: Final answer
    x = 386,380.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.