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Finding the Fourth Proportional to 274,074.50, 378,225.62 and 153,222.50

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Solution

The fourth proportional to 274,074.50, 378,225.62 and 153,222.50 is: 211,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,074.50 : 378,225.62 = 153,222.50 : x
  2. Step 2: Convert to fraction form
    274,074.50/378,225.62 = 153,222.50/x
  3. Step 3: Cross multiply
    274,074.50x = 378,225.62 × 153,222.50
  4. Step 4: Simplify right side
    274,074.50x = 57,952,675,814.49
  5. Step 5: Solve for x
    x = 57,952,675,814.49/274,074.50
  6. Step 6: Final answer
    x = 211,448.62

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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.