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Finding the Fourth Proportional to 305,224.80, 421,215.12 and 169,264.32

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Solution

The fourth proportional to 305,224.80, 421,215.12 and 169,264.32 is: 233,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,224.80 : 421,215.12 = 169,264.32 : x
  2. Step 2: Convert to fraction form
    305,224.80/421,215.12 = 169,264.32/x
  3. Step 3: Cross multiply
    305,224.80x = 421,215.12 × 169,264.32
  4. Step 4: Simplify right side
    305,224.80x = 71,296,690,860.52
  5. Step 5: Solve for x
    x = 71,296,690,860.52/305,224.80
  6. Step 6: Final answer
    x = 233,587.48

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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.