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Finding the Fourth Proportional to 309,668.40, 464,389.20 and 243,237.87

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Solution

The fourth proportional to 309,668.40, 464,389.20 and 243,237.87 is: 364,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,668.40 : 464,389.20 = 243,237.87 : x
  2. Step 2: Convert to fraction form
    309,668.40/464,389.20 = 243,237.87/x
  3. Step 3: Cross multiply
    309,668.40x = 464,389.20 × 243,237.87
  4. Step 4: Simplify right side
    309,668.40x = 112,957,039,859.00
  5. Step 5: Solve for x
    x = 112,957,039,859.00/309,668.40
  6. Step 6: Final answer
    x = 364,767.73

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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.