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Finding the Fourth Proportional to 305,312.54, 421,381.77 and 169,390.27

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Solution

The fourth proportional to 305,312.54, 421,381.77 and 169,390.27 is: 233,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,312.54 : 421,381.77 = 169,390.27 : x
  2. Step 2: Convert to fraction form
    305,312.54/421,381.77 = 169,390.27/x
  3. Step 3: Cross multiply
    305,312.54x = 421,381.77 × 169,390.27
  4. Step 4: Simplify right side
    305,312.54x = 71,377,968,839.52
  5. Step 5: Solve for x
    x = 71,377,968,839.52/305,312.54
  6. Step 6: Final answer
    x = 233,786.56

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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.