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Finding the Fourth Proportional to 1,420,760, 1,960,648.80 and 784,856

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Solution

The fourth proportional to 1,420,760, 1,960,648.80 and 784,856 is: 1,083,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,760 : 1,960,648.80 = 784,856 : x
  2. Step 2: Convert to fraction form
    1,420,760/1,960,648.80 = 784,856/x
  3. Step 3: Cross multiply
    1,420,760x = 1,960,648.80 × 784,856
  4. Step 4: Simplify right side
    1,420,760x = 1,538,826,974,572.80
  5. Step 5: Solve for x
    x = 1,538,826,974,572.80/1,420,760
  6. Step 6: Final answer
    x = 1,083,101.28

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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.