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Finding the Fourth Proportional to 1,429,357.84, 1,972,517.70 and 784,819.84

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Solution

The fourth proportional to 1,429,357.84, 1,972,517.70 and 784,819.84 is: 1,083,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,357.84 : 1,972,517.70 = 784,819.84 : x
  2. Step 2: Convert to fraction form
    1,429,357.84/1,972,517.70 = 784,819.84/x
  3. Step 3: Cross multiply
    1,429,357.84x = 1,972,517.70 × 784,819.84
  4. Step 4: Simplify right side
    1,429,357.84x = 1,548,071,025,711.17
  5. Step 5: Solve for x
    x = 1,548,071,025,711.17/1,429,357.84
  6. Step 6: Final answer
    x = 1,083,053.51

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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.