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Finding the Fourth Proportional to 305,442.16, 421,503.76 and 169,473.18

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Solution

The fourth proportional to 305,442.16, 421,503.76 and 169,473.18 is: 233,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,442.16 : 421,503.76 = 169,473.18 : x
  2. Step 2: Convert to fraction form
    305,442.16/421,503.76 = 169,473.18/x
  3. Step 3: Cross multiply
    305,442.16x = 421,503.76 × 169,473.18
  4. Step 4: Simplify right side
    305,442.16x = 71,433,582,589.16
  5. Step 5: Solve for x
    x = 71,433,582,589.16/305,442.16
  6. Step 6: Final answer
    x = 233,869.43

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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.