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Finding the Fourth Proportional to 274,327.20, 411,296.40 and 105,782.40

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Solution

The fourth proportional to 274,327.20, 411,296.40 and 105,782.40 is: 158,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,327.20 : 411,296.40 = 105,782.40 : x
  2. Step 2: Convert to fraction form
    274,327.20/411,296.40 = 105,782.40/x
  3. Step 3: Cross multiply
    274,327.20x = 411,296.40 × 105,782.40
  4. Step 4: Simplify right side
    274,327.20x = 43,507,920,303.36
  5. Step 5: Solve for x
    x = 43,507,920,303.36/274,327.20
  6. Step 6: Final answer
    x = 158,598.64

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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.