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Finding the Fourth Proportional to 2,582,509.60, 3,873,764.40 and 785,378.80

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Solution

The fourth proportional to 2,582,509.60, 3,873,764.40 and 785,378.80 is: 1,178,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,509.60 : 3,873,764.40 = 785,378.80 : x
  2. Step 2: Convert to fraction form
    2,582,509.60/3,873,764.40 = 785,378.80/x
  3. Step 3: Cross multiply
    2,582,509.60x = 3,873,764.40 × 785,378.80
  4. Step 4: Simplify right side
    2,582,509.60x = 3,042,372,435,954.72
  5. Step 5: Solve for x
    x = 3,042,372,435,954.72/2,582,509.60
  6. Step 6: Final answer
    x = 1,178,068.20

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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.