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Finding the Fourth Proportional to 1,978,034.40, 2,967,051.60 and 1,340,305.20

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Solution

The fourth proportional to 1,978,034.40, 2,967,051.60 and 1,340,305.20 is: 2,010,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,034.40 : 2,967,051.60 = 1,340,305.20 : x
  2. Step 2: Convert to fraction form
    1,978,034.40/2,967,051.60 = 1,340,305.20/x
  3. Step 3: Cross multiply
    1,978,034.40x = 2,967,051.60 × 1,340,305.20
  4. Step 4: Simplify right side
    1,978,034.40x = 3,976,754,688,148.32
  5. Step 5: Solve for x
    x = 3,976,754,688,148.32/1,978,034.40
  6. Step 6: Final answer
    x = 2,010,457.80

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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.