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Finding the Fourth Proportional to 414,985.12, 622,499.75 and 130,697.90

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Solution

The fourth proportional to 414,985.12, 622,499.75 and 130,697.90 is: 196,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,985.12 : 622,499.75 = 130,697.90 : x
  2. Step 2: Convert to fraction form
    414,985.12/622,499.75 = 130,697.90/x
  3. Step 3: Cross multiply
    414,985.12x = 622,499.75 × 130,697.90
  4. Step 4: Simplify right side
    414,985.12x = 81,359,410,075.53
  5. Step 5: Solve for x
    x = 81,359,410,075.53/414,985.12
  6. Step 6: Final answer
    x = 196,053.80

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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.