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Finding the Fourth Proportional to 316,409.16, 436,558.17 and 180,393.51

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Solution

The fourth proportional to 316,409.16, 436,558.17 and 180,393.51 is: 248,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,409.16 : 436,558.17 = 180,393.51 : x
  2. Step 2: Convert to fraction form
    316,409.16/436,558.17 = 180,393.51/x
  3. Step 3: Cross multiply
    316,409.16x = 436,558.17 × 180,393.51
  4. Step 4: Simplify right side
    316,409.16x = 78,752,260,605.48
  5. Step 5: Solve for x
    x = 78,752,260,605.48/316,409.16
  6. Step 6: Final answer
    x = 248,893.74

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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.