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Finding the Fourth Proportional to 270,356.36, 405,779.64 and 144,102.64

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Solution

The fourth proportional to 270,356.36, 405,779.64 and 144,102.64 is: 216,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,356.36 : 405,779.64 = 144,102.64 : x
  2. Step 2: Convert to fraction form
    270,356.36/405,779.64 = 144,102.64/x
  3. Step 3: Cross multiply
    270,356.36x = 405,779.64 × 144,102.64
  4. Step 4: Simplify right side
    270,356.36x = 58,473,917,382.25
  5. Step 5: Solve for x
    x = 58,473,917,382.25/270,356.36
  6. Step 6: Final answer
    x = 216,284.60

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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.