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Finding the Fourth Proportional to 1,298,019.30, 1,947,028.95 and 738,147.30

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Solution

The fourth proportional to 1,298,019.30, 1,947,028.95 and 738,147.30 is: 1,107,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,019.30 : 1,947,028.95 = 738,147.30 : x
  2. Step 2: Convert to fraction form
    1,298,019.30/1,947,028.95 = 738,147.30/x
  3. Step 3: Cross multiply
    1,298,019.30x = 1,947,028.95 × 738,147.30
  4. Step 4: Simplify right side
    1,298,019.30x = 1,437,194,162,464.34
  5. Step 5: Solve for x
    x = 1,437,194,162,464.34/1,298,019.30
  6. Step 6: Final answer
    x = 1,107,220.95

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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.