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Finding the Fourth Proportional to 305,133.94, 421,109.80 and 169,210.52

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Solution

The fourth proportional to 305,133.94, 421,109.80 and 169,210.52 is: 233,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,133.94 : 421,109.80 = 169,210.52 : x
  2. Step 2: Convert to fraction form
    305,133.94/421,109.80 = 169,210.52/x
  3. Step 3: Cross multiply
    305,133.94x = 421,109.80 × 169,210.52
  4. Step 4: Simplify right side
    305,133.94x = 71,256,208,235.10
  5. Step 5: Solve for x
    x = 71,256,208,235.10/305,133.94
  6. Step 6: Final answer
    x = 233,524.36

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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.