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Finding the Fourth Proportional to 1,324,113.30, 1,983,663.06 and 782,748.79

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Solution

The fourth proportional to 1,324,113.30, 1,983,663.06 and 782,748.79 is: 1,172,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,113.30 : 1,983,663.06 = 782,748.79 : x
  2. Step 2: Convert to fraction form
    1,324,113.30/1,983,663.06 = 782,748.79/x
  3. Step 3: Cross multiply
    1,324,113.30x = 1,983,663.06 × 782,748.79
  4. Step 4: Simplify right side
    1,324,113.30x = 1,552,709,859,982.70
  5. Step 5: Solve for x
    x = 1,552,709,859,982.70/1,324,113.30
  6. Step 6: Final answer
    x = 1,172,641.24

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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.