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Finding the Fourth Proportional to 305,428.95, 421,471.89 and 169,462.53

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Solution

The fourth proportional to 305,428.95, 421,471.89 and 169,462.53 is: 233,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,428.95 : 421,471.89 = 169,462.53 : x
  2. Step 2: Convert to fraction form
    305,428.95/421,471.89 = 169,462.53/x
  3. Step 3: Cross multiply
    305,428.95x = 421,471.89 × 169,462.53
  4. Step 4: Simplify right side
    305,428.95x = 71,423,692,803.28
  5. Step 5: Solve for x
    x = 71,423,692,803.28/305,428.95
  6. Step 6: Final answer
    x = 233,847.16

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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.