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Finding the Fourth Proportional to 305,412.84, 421,455.49 and 169,445.34

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Solution

The fourth proportional to 305,412.84, 421,455.49 and 169,445.34 is: 233,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,412.84 : 421,455.49 = 169,445.34 : x
  2. Step 2: Convert to fraction form
    305,412.84/421,455.49 = 169,445.34/x
  3. Step 3: Cross multiply
    305,412.84x = 421,455.49 × 169,445.34
  4. Step 4: Simplify right side
    305,412.84x = 71,413,668,797.92
  5. Step 5: Solve for x
    x = 71,413,668,797.92/305,412.84
  6. Step 6: Final answer
    x = 233,826.67

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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.