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Finding the Fourth Proportional to 469,548.80, 647,977.56 and 254,688.08

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Solution

The fourth proportional to 469,548.80, 647,977.56 and 254,688.08 is: 351,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,548.80 : 647,977.56 = 254,688.08 : x
  2. Step 2: Convert to fraction form
    469,548.80/647,977.56 = 254,688.08/x
  3. Step 3: Cross multiply
    469,548.80x = 647,977.56 × 254,688.08
  4. Step 4: Simplify right side
    469,548.80x = 165,032,160,639.49
  5. Step 5: Solve for x
    x = 165,032,160,639.49/469,548.80
  6. Step 6: Final answer
    x = 351,469.67

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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.