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Finding the Fourth Proportional to 321,639.60, 482,459.40 and 144,492.60

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Solution

The fourth proportional to 321,639.60, 482,459.40 and 144,492.60 is: 216,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,639.60 : 482,459.40 = 144,492.60 : x
  2. Step 2: Convert to fraction form
    321,639.60/482,459.40 = 144,492.60/x
  3. Step 3: Cross multiply
    321,639.60x = 482,459.40 × 144,492.60
  4. Step 4: Simplify right side
    321,639.60x = 69,711,813,100.44
  5. Step 5: Solve for x
    x = 69,711,813,100.44/321,639.60
  6. Step 6: Final answer
    x = 216,738.90

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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.