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Finding the Fourth Proportional to 399,140.75, 598,711.08 and 146,325.67

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Solution

The fourth proportional to 399,140.75, 598,711.08 and 146,325.67 is: 219,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,140.75 : 598,711.08 = 146,325.67 : x
  2. Step 2: Convert to fraction form
    399,140.75/598,711.08 = 146,325.67/x
  3. Step 3: Cross multiply
    399,140.75x = 598,711.08 × 146,325.67
  4. Step 4: Simplify right side
    399,140.75x = 87,606,799,917.42
  5. Step 5: Solve for x
    x = 87,606,799,917.42/399,140.75
  6. Step 6: Final answer
    x = 219,488.49

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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.