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Finding the Fourth Proportional to 305,803.65, 421,984.88 and 169,824.45

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Solution

The fourth proportional to 305,803.65, 421,984.88 and 169,824.45 is: 234,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,803.65 : 421,984.88 = 169,824.45 : x
  2. Step 2: Convert to fraction form
    305,803.65/421,984.88 = 169,824.45/x
  3. Step 3: Cross multiply
    305,803.65x = 421,984.88 × 169,824.45
  4. Step 4: Simplify right side
    305,803.65x = 71,663,349,305.19
  5. Step 5: Solve for x
    x = 71,663,349,305.19/305,803.65
  6. Step 6: Final answer
    x = 234,344.32

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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.