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Finding the Fourth Proportional to 305,409.84, 421,451.35 and 169,442.34

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Solution

The fourth proportional to 305,409.84, 421,451.35 and 169,442.34 is: 233,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,409.84 : 421,451.35 = 169,442.34 : x
  2. Step 2: Convert to fraction form
    305,409.84/421,451.35 = 169,442.34/x
  3. Step 3: Cross multiply
    305,409.84x = 421,451.35 × 169,442.34
  4. Step 4: Simplify right side
    305,409.84x = 71,411,702,940.16
  5. Step 5: Solve for x
    x = 71,411,702,940.16/305,409.84
  6. Step 6: Final answer
    x = 233,822.53

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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.