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Finding the Fourth Proportional to 306,898.20, 461,331.45 and 218,762.10

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Solution

The fourth proportional to 306,898.20, 461,331.45 and 218,762.10 is: 328,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,898.20 : 461,331.45 = 218,762.10 : x
  2. Step 2: Convert to fraction form
    306,898.20/461,331.45 = 218,762.10/x
  3. Step 3: Cross multiply
    306,898.20x = 461,331.45 × 218,762.10
  4. Step 4: Simplify right side
    306,898.20x = 100,921,836,798.05
  5. Step 5: Solve for x
    x = 100,921,836,798.05/306,898.20
  6. Step 6: Final answer
    x = 328,844.67

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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.