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Finding the Fourth Proportional to 647,809.12, 971,715.28 and 332,093.76

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Solution

The fourth proportional to 647,809.12, 971,715.28 and 332,093.76 is: 498,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,809.12 : 971,715.28 = 332,093.76 : x
  2. Step 2: Convert to fraction form
    647,809.12/971,715.28 = 332,093.76/x
  3. Step 3: Cross multiply
    647,809.12x = 971,715.28 × 332,093.76
  4. Step 4: Simplify right side
    647,809.12x = 322,700,580,984.65
  5. Step 5: Solve for x
    x = 322,700,580,984.65/647,809.12
  6. Step 6: Final answer
    x = 498,141.46

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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.