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Finding the Fourth Proportional to 291,705, 437,557.50 and 94,713

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Solution

The fourth proportional to 291,705, 437,557.50 and 94,713 is: 142,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,705 : 437,557.50 = 94,713 : x
  2. Step 2: Convert to fraction form
    291,705/437,557.50 = 94,713/x
  3. Step 3: Cross multiply
    291,705x = 437,557.50 × 94,713
  4. Step 4: Simplify right side
    291,705x = 41,442,383,497.50
  5. Step 5: Solve for x
    x = 41,442,383,497.50/291,705
  6. Step 6: Final answer
    x = 142,069.50

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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.