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Finding the Fourth Proportional to 309,358.96, 426,908.25 and 180,289.20

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Solution

The fourth proportional to 309,358.96, 426,908.25 and 180,289.20 is: 248,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,358.96 : 426,908.25 = 180,289.20 : x
  2. Step 2: Convert to fraction form
    309,358.96/426,908.25 = 180,289.20/x
  3. Step 3: Cross multiply
    309,358.96x = 426,908.25 × 180,289.20
  4. Step 4: Simplify right side
    309,358.96x = 76,966,946,865.90
  5. Step 5: Solve for x
    x = 76,966,946,865.90/309,358.96
  6. Step 6: Final answer
    x = 248,794.95

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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.