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Finding the Fourth Proportional to 305,585.78, 421,688.43 and 169,613.24

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Solution

The fourth proportional to 305,585.78, 421,688.43 and 169,613.24 is: 234,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,585.78 : 421,688.43 = 169,613.24 : x
  2. Step 2: Convert to fraction form
    305,585.78/421,688.43 = 169,613.24/x
  3. Step 3: Cross multiply
    305,585.78x = 421,688.43 × 169,613.24
  4. Step 4: Simplify right side
    305,585.78x = 71,523,938,774.37
  5. Step 5: Solve for x
    x = 71,523,938,774.37/305,585.78
  6. Step 6: Final answer
    x = 234,055.20

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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.