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Finding the Fourth Proportional to 270,830.98, 373,742.16 and 149,969.68

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Solution

The fourth proportional to 270,830.98, 373,742.16 and 149,969.68 is: 206,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,830.98 : 373,742.16 = 149,969.68 : x
  2. Step 2: Convert to fraction form
    270,830.98/373,742.16 = 149,969.68/x
  3. Step 3: Cross multiply
    270,830.98x = 373,742.16 × 149,969.68
  4. Step 4: Simplify right side
    270,830.98x = 56,049,992,137.71
  5. Step 5: Solve for x
    x = 56,049,992,137.71/270,830.98
  6. Step 6: Final answer
    x = 206,955.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.