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Finding the Fourth Proportional to 289,863.20, 434,103.60 and 141,946.40

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Solution

The fourth proportional to 289,863.20, 434,103.60 and 141,946.40 is: 212,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,863.20 : 434,103.60 = 141,946.40 : x
  2. Step 2: Convert to fraction form
    289,863.20/434,103.60 = 141,946.40/x
  3. Step 3: Cross multiply
    289,863.20x = 434,103.60 × 141,946.40
  4. Step 4: Simplify right side
    289,863.20x = 61,619,443,247.04
  5. Step 5: Solve for x
    x = 61,619,443,247.04/289,863.20
  6. Step 6: Final answer
    x = 212,581.12

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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.