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Finding the Fourth Proportional to 472,161.25, 651,581.52 and 257,300.80

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Solution

The fourth proportional to 472,161.25, 651,581.52 and 257,300.80 is: 355,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,161.25 : 651,581.52 = 257,300.80 : x
  2. Step 2: Convert to fraction form
    472,161.25/651,581.52 = 257,300.80/x
  3. Step 3: Cross multiply
    472,161.25x = 651,581.52 × 257,300.80
  4. Step 4: Simplify right side
    472,161.25x = 167,652,446,361.22
  5. Step 5: Solve for x
    x = 167,652,446,361.22/472,161.25
  6. Step 6: Final answer
    x = 355,074.56

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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.