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Finding the Fourth Proportional to 1,416,576.69, 1,954,819.04 and 771,983.15

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Solution

The fourth proportional to 1,416,576.69, 1,954,819.04 and 771,983.15 is: 1,065,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,576.69 : 1,954,819.04 = 771,983.15 : x
  2. Step 2: Convert to fraction form
    1,416,576.69/1,954,819.04 = 771,983.15/x
  3. Step 3: Cross multiply
    1,416,576.69x = 1,954,819.04 × 771,983.15
  4. Step 4: Simplify right side
    1,416,576.69x = 1,509,087,346,545.17
  5. Step 5: Solve for x
    x = 1,509,087,346,545.17/1,416,576.69
  6. Step 6: Final answer
    x = 1,065,305.79

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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.