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Finding the Fourth Proportional to 301,194.78, 415,661.94 and 180,312.78

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Solution

The fourth proportional to 301,194.78, 415,661.94 and 180,312.78 is: 248,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,194.78 : 415,661.94 = 180,312.78 : x
  2. Step 2: Convert to fraction form
    301,194.78/415,661.94 = 180,312.78/x
  3. Step 3: Cross multiply
    301,194.78x = 415,661.94 × 180,312.78
  4. Step 4: Simplify right side
    301,194.78x = 74,949,159,941.59
  5. Step 5: Solve for x
    x = 74,949,159,941.59/301,194.78
  6. Step 6: Final answer
    x = 248,839.50

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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.