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Finding the Fourth Proportional to 270,807.12, 405,977.40 and 130,664.16

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Solution

The fourth proportional to 270,807.12, 405,977.40 and 130,664.16 is: 195,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,807.12 : 405,977.40 = 130,664.16 : x
  2. Step 2: Convert to fraction form
    270,807.12/405,977.40 = 130,664.16/x
  3. Step 3: Cross multiply
    270,807.12x = 405,977.40 × 130,664.16
  4. Step 4: Simplify right side
    270,807.12x = 53,046,695,949.98
  5. Step 5: Solve for x
    x = 53,046,695,949.98/270,807.12
  6. Step 6: Final answer
    x = 195,883.68

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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.