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Finding the Fourth Proportional to 463,546.22, 639,206.30 and 342,938.64

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Solution

The fourth proportional to 463,546.22, 639,206.30 and 342,938.64 is: 472,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,546.22 : 639,206.30 = 342,938.64 : x
  2. Step 2: Convert to fraction form
    463,546.22/639,206.30 = 342,938.64/x
  3. Step 3: Cross multiply
    463,546.22x = 639,206.30 × 342,938.64
  4. Step 4: Simplify right side
    463,546.22x = 219,208,535,148.05
  5. Step 5: Solve for x
    x = 219,208,535,148.05/463,546.22
  6. Step 6: Final answer
    x = 472,894.67

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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.