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Finding the Fourth Proportional to 305,406.96, 421,453.08 and 169,440.24

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Solution

The fourth proportional to 305,406.96, 421,453.08 and 169,440.24 is: 233,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,406.96 : 421,453.08 = 169,440.24 : x
  2. Step 2: Convert to fraction form
    305,406.96/421,453.08 = 169,440.24/x
  3. Step 3: Cross multiply
    305,406.96x = 421,453.08 × 169,440.24
  4. Step 4: Simplify right side
    305,406.96x = 71,411,111,023.94
  5. Step 5: Solve for x
    x = 71,411,111,023.94/305,406.96
  6. Step 6: Final answer
    x = 233,822.80

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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.