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Finding the Fourth Proportional to 323,017.84, 484,489.77 and 86,378.95

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Solution

The fourth proportional to 323,017.84, 484,489.77 and 86,378.95 is: 129,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,017.84 : 484,489.77 = 86,378.95 : x
  2. Step 2: Convert to fraction form
    323,017.84/484,489.77 = 86,378.95/x
  3. Step 3: Cross multiply
    323,017.84x = 484,489.77 × 86,378.95
  4. Step 4: Simplify right side
    323,017.84x = 41,849,717,618.34
  5. Step 5: Solve for x
    x = 41,849,717,618.34/323,017.84
  6. Step 6: Final answer
    x = 129,558.53

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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.