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Finding the Fourth Proportional to 292,619.04, 438,928.56 and 82,257

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Solution

The fourth proportional to 292,619.04, 438,928.56 and 82,257 is: 123,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,619.04 : 438,928.56 = 82,257 : x
  2. Step 2: Convert to fraction form
    292,619.04/438,928.56 = 82,257/x
  3. Step 3: Cross multiply
    292,619.04x = 438,928.56 × 82,257
  4. Step 4: Simplify right side
    292,619.04x = 36,104,946,559.92
  5. Step 5: Solve for x
    x = 36,104,946,559.92/292,619.04
  6. Step 6: Final answer
    x = 123,385.50

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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.