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Finding the Fourth Proportional to 321,592.16, 482,378.40 and 84,936.16

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Solution

The fourth proportional to 321,592.16, 482,378.40 and 84,936.16 is: 127,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,592.16 : 482,378.40 = 84,936.16 : x
  2. Step 2: Convert to fraction form
    321,592.16/482,378.40 = 84,936.16/x
  3. Step 3: Cross multiply
    321,592.16x = 482,378.40 × 84,936.16
  4. Step 4: Simplify right side
    321,592.16x = 40,971,368,962.94
  5. Step 5: Solve for x
    x = 40,971,368,962.94/321,592.16
  6. Step 6: Final answer
    x = 127,401.64

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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.