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Finding the Fourth Proportional to 306,590.50, 459,911.67 and 84,974.50

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Solution

The fourth proportional to 306,590.50, 459,911.67 and 84,974.50 is: 127,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,590.50 : 459,911.67 = 84,974.50 : x
  2. Step 2: Convert to fraction form
    306,590.50/459,911.67 = 84,974.50/x
  3. Step 3: Cross multiply
    306,590.50x = 459,911.67 × 84,974.50
  4. Step 4: Simplify right side
    306,590.50x = 39,080,764,202.42
  5. Step 5: Solve for x
    x = 39,080,764,202.42/306,590.50
  6. Step 6: Final answer
    x = 127,468.93

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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.