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Finding the Fourth Proportional to 305,230.42, 421,210.14 and 169,262.20

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Solution

The fourth proportional to 305,230.42, 421,210.14 and 169,262.20 is: 233,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,230.42 : 421,210.14 = 169,262.20 : x
  2. Step 2: Convert to fraction form
    305,230.42/421,210.14 = 169,262.20/x
  3. Step 3: Cross multiply
    305,230.42x = 421,210.14 × 169,262.20
  4. Step 4: Simplify right side
    305,230.42x = 71,294,954,958.71
  5. Step 5: Solve for x
    x = 71,294,954,958.71/305,230.42
  6. Step 6: Final answer
    x = 233,577.49

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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.