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Finding the Fourth Proportional to 1,686,747, 2,530,122.94 and 689,475

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Solution

The fourth proportional to 1,686,747, 2,530,122.94 and 689,475 is: 1,034,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,747 : 2,530,122.94 = 689,475 : x
  2. Step 2: Convert to fraction form
    1,686,747/2,530,122.94 = 689,475/x
  3. Step 3: Cross multiply
    1,686,747x = 2,530,122.94 × 689,475
  4. Step 4: Simplify right side
    1,686,747x = 1,744,456,514,056.50
  5. Step 5: Solve for x
    x = 1,744,456,514,056.50/1,686,747
  6. Step 6: Final answer
    x = 1,034,213.50

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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.