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Finding the Fourth Proportional to 431,924.10, 648,210.15 and 221,453.70

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Solution

The fourth proportional to 431,924.10, 648,210.15 and 221,453.70 is: 332,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,924.10 : 648,210.15 = 221,453.70 : x
  2. Step 2: Convert to fraction form
    431,924.10/648,210.15 = 221,453.70/x
  3. Step 3: Cross multiply
    431,924.10x = 648,210.15 × 221,453.70
  4. Step 4: Simplify right side
    431,924.10x = 143,548,536,095.06
  5. Step 5: Solve for x
    x = 143,548,536,095.06/431,924.10
  6. Step 6: Final answer
    x = 332,346.67

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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.