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Finding the Fourth Proportional to 1,463,978.10, 2,186,002.08 and 1,291,764.60

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Solution

The fourth proportional to 1,463,978.10, 2,186,002.08 and 1,291,764.60 is: 1,928,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,978.10 : 2,186,002.08 = 1,291,764.60 : x
  2. Step 2: Convert to fraction form
    1,463,978.10/2,186,002.08 = 1,291,764.60/x
  3. Step 3: Cross multiply
    1,463,978.10x = 2,186,002.08 × 1,291,764.60
  4. Step 4: Simplify right side
    1,463,978.10x = 2,823,800,102,470.37
  5. Step 5: Solve for x
    x = 2,823,800,102,470.37/1,463,978.10
  6. Step 6: Final answer
    x = 1,928,854.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.