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Finding the Fourth Proportional to 309,138.90, 463,622.70 and 109,432.98

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Solution

The fourth proportional to 309,138.90, 463,622.70 and 109,432.98 is: 164,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,138.90 : 463,622.70 = 109,432.98 : x
  2. Step 2: Convert to fraction form
    309,138.90/463,622.70 = 109,432.98/x
  3. Step 3: Cross multiply
    309,138.90x = 463,622.70 × 109,432.98
  4. Step 4: Simplify right side
    309,138.90x = 50,735,613,656.65
  5. Step 5: Solve for x
    x = 50,735,613,656.65/309,138.90
  6. Step 6: Final answer
    x = 164,119.15

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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.