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Finding the Fourth Proportional to 340,594.50, 470,035 and 189,691.50

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Solution

The fourth proportional to 340,594.50, 470,035 and 189,691.50 is: 261,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,594.50 : 470,035 = 189,691.50 : x
  2. Step 2: Convert to fraction form
    340,594.50/470,035 = 189,691.50/x
  3. Step 3: Cross multiply
    340,594.50x = 470,035 × 189,691.50
  4. Step 4: Simplify right side
    340,594.50x = 89,161,644,202.50
  5. Step 5: Solve for x
    x = 89,161,644,202.50/340,594.50
  6. Step 6: Final answer
    x = 261,782.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.