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Finding the Fourth Proportional to 292,492.58, 438,736.82 and 82,130.72

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Solution

The fourth proportional to 292,492.58, 438,736.82 and 82,130.72 is: 123,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,492.58 : 438,736.82 = 82,130.72 : x
  2. Step 2: Convert to fraction form
    292,492.58/438,736.82 = 82,130.72/x
  3. Step 3: Cross multiply
    292,492.58x = 438,736.82 × 82,130.72
  4. Step 4: Simplify right side
    292,492.58x = 36,033,770,917.11
  5. Step 5: Solve for x
    x = 36,033,770,917.11/292,492.58
  6. Step 6: Final answer
    x = 123,195.50

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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.