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Finding the Fourth Proportional to 680,133.70, 1,019,908.95 and 343,044.10

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Solution

The fourth proportional to 680,133.70, 1,019,908.95 and 343,044.10 is: 514,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,133.70 : 1,019,908.95 = 343,044.10 : x
  2. Step 2: Convert to fraction form
    680,133.70/1,019,908.95 = 343,044.10/x
  3. Step 3: Cross multiply
    680,133.70x = 1,019,908.95 × 343,044.10
  4. Step 4: Simplify right side
    680,133.70x = 349,873,747,834.70
  5. Step 5: Solve for x
    x = 349,873,747,834.70/680,133.70
  6. Step 6: Final answer
    x = 514,419.07

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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.