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Finding the Fourth Proportional to 431,623.32, 647,834.28 and 218,541

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Solution

The fourth proportional to 431,623.32, 647,834.28 and 218,541 is: 328,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,623.32 : 647,834.28 = 218,541 : x
  2. Step 2: Convert to fraction form
    431,623.32/647,834.28 = 218,541/x
  3. Step 3: Cross multiply
    431,623.32x = 647,834.28 × 218,541
  4. Step 4: Simplify right side
    431,623.32x = 141,578,351,385.48
  5. Step 5: Solve for x
    x = 141,578,351,385.48/431,623.32
  6. Step 6: Final answer
    x = 328,013.67

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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.