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Finding the Fourth Proportional to 274,297.50, 378,512.70 and 153,417.84

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Solution

The fourth proportional to 274,297.50, 378,512.70 and 153,417.84 is: 211,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,297.50 : 378,512.70 = 153,417.84 : x
  2. Step 2: Convert to fraction form
    274,297.50/378,512.70 = 153,417.84/x
  3. Step 3: Cross multiply
    274,297.50x = 378,512.70 × 153,417.84
  4. Step 4: Simplify right side
    274,297.50x = 58,070,600,846.57
  5. Step 5: Solve for x
    x = 58,070,600,846.57/274,297.50
  6. Step 6: Final answer
    x = 211,706.64

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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.