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Finding the Fourth Proportional to 469,472.35, 647,812.43 and 278,448.43

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Solution

The fourth proportional to 469,472.35, 647,812.43 and 278,448.43 is: 384,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,472.35 : 647,812.43 = 278,448.43 : x
  2. Step 2: Convert to fraction form
    469,472.35/647,812.43 = 278,448.43/x
  3. Step 3: Cross multiply
    469,472.35x = 647,812.43 × 278,448.43
  4. Step 4: Simplify right side
    469,472.35x = 180,382,351,056.21
  5. Step 5: Solve for x
    x = 180,382,351,056.21/469,472.35
  6. Step 6: Final answer
    x = 384,223.59

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1.5x scale

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.