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Finding the Fourth Proportional to 316,309.60, 436,488.24 and 180,324.64

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Solution

The fourth proportional to 316,309.60, 436,488.24 and 180,324.64 is: 248,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,309.60 : 436,488.24 = 180,324.64 : x
  2. Step 2: Convert to fraction form
    316,309.60/436,488.24 = 180,324.64/x
  3. Step 3: Cross multiply
    316,309.60x = 436,488.24 × 180,324.64
  4. Step 4: Simplify right side
    316,309.60x = 78,709,584,742.23
  5. Step 5: Solve for x
    x = 78,709,584,742.23/316,309.60
  6. Step 6: Final answer
    x = 248,837.17

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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.