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Finding the Fourth Proportional to 1,965,115.40, 2,947,673.10 and 702,984.20

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Solution

The fourth proportional to 1,965,115.40, 2,947,673.10 and 702,984.20 is: 1,054,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,115.40 : 2,947,673.10 = 702,984.20 : x
  2. Step 2: Convert to fraction form
    1,965,115.40/2,947,673.10 = 702,984.20/x
  3. Step 3: Cross multiply
    1,965,115.40x = 2,947,673.10 × 702,984.20
  4. Step 4: Simplify right side
    1,965,115.40x = 2,072,167,616,065.02
  5. Step 5: Solve for x
    x = 2,072,167,616,065.02/1,965,115.40
  6. Step 6: Final answer
    x = 1,054,476.30

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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.