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Finding the Fourth Proportional to 442,185, 663,281.84 and 109,761

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Solution

The fourth proportional to 442,185, 663,281.84 and 109,761 is: 164,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,185 : 663,281.84 = 109,761 : x
  2. Step 2: Convert to fraction form
    442,185/663,281.84 = 109,761/x
  3. Step 3: Cross multiply
    442,185x = 663,281.84 × 109,761
  4. Step 4: Simplify right side
    442,185x = 72,802,478,040.24
  5. Step 5: Solve for x
    x = 72,802,478,040.24/442,185
  6. Step 6: Final answer
    x = 164,642.58

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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.