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Finding the Fourth Proportional to 493,638.85, 740,311.55 and 209,325.20

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Solution

The fourth proportional to 493,638.85, 740,311.55 and 209,325.20 is: 313,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,638.85 : 740,311.55 = 209,325.20 : x
  2. Step 2: Convert to fraction form
    493,638.85/740,311.55 = 209,325.20/x
  3. Step 3: Cross multiply
    493,638.85x = 740,311.55 × 209,325.20
  4. Step 4: Simplify right side
    493,638.85x = 154,965,862,219.43
  5. Step 5: Solve for x
    x = 154,965,862,219.43/493,638.85
  6. Step 6: Final answer
    x = 313,925.58

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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.