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Finding the Fourth Proportional to 305,611.83, 458,719.45 and 229,445.46

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Solution

The fourth proportional to 305,611.83, 458,719.45 and 229,445.46 is: 344,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,611.83 : 458,719.45 = 229,445.46 : x
  2. Step 2: Convert to fraction form
    305,611.83/458,719.45 = 229,445.46/x
  3. Step 3: Cross multiply
    305,611.83x = 458,719.45 × 229,445.46
  4. Step 4: Simplify right side
    305,611.83x = 105,251,094,642.58
  5. Step 5: Solve for x
    x = 105,251,094,642.58/305,611.83
  6. Step 6: Final answer
    x = 344,394.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.