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Finding the Fourth Proportional to 490,506, 735,358.32 and 253,916.88

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Solution

The fourth proportional to 490,506, 735,358.32 and 253,916.88 is: 380,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,506 : 735,358.32 = 253,916.88 : x
  2. Step 2: Convert to fraction form
    490,506/735,358.32 = 253,916.88/x
  3. Step 3: Cross multiply
    490,506x = 735,358.32 × 253,916.88
  4. Step 4: Simplify right side
    490,506x = 186,719,890,296.44
  5. Step 5: Solve for x
    x = 186,719,890,296.44/490,506
  6. Step 6: Final answer
    x = 380,667.90

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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.