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Finding the Fourth Proportional to 602,188.09, 830,942.69 and 344,081.75

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Solution

The fourth proportional to 602,188.09, 830,942.69 and 344,081.75 is: 474,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,188.09 : 830,942.69 = 344,081.75 : x
  2. Step 2: Convert to fraction form
    602,188.09/830,942.69 = 344,081.75/x
  3. Step 3: Cross multiply
    602,188.09x = 830,942.69 × 344,081.75
  4. Step 4: Simplify right side
    602,188.09x = 285,912,209,049.79
  5. Step 5: Solve for x
    x = 285,912,209,049.79/602,188.09
  6. Step 6: Final answer
    x = 474,788.88

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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.