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Finding the Fourth Proportional to 647,810.12, 971,716.78 and 332,094.76

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Solution

The fourth proportional to 647,810.12, 971,716.78 and 332,094.76 is: 498,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,810.12 : 971,716.78 = 332,094.76 : x
  2. Step 2: Convert to fraction form
    647,810.12/971,716.78 = 332,094.76/x
  3. Step 3: Cross multiply
    647,810.12x = 971,716.78 × 332,094.76
  4. Step 4: Simplify right side
    647,810.12x = 322,702,050,842.07
  5. Step 5: Solve for x
    x = 322,702,050,842.07/647,810.12
  6. Step 6: Final answer
    x = 498,142.96

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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.