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Finding the Fourth Proportional to 310,034.84, 427,894.83 and 189,246.15

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Solution

The fourth proportional to 310,034.84, 427,894.83 and 189,246.15 is: 261,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,034.84 : 427,894.83 = 189,246.15 : x
  2. Step 2: Convert to fraction form
    310,034.84/427,894.83 = 189,246.15/x
  3. Step 3: Cross multiply
    310,034.84x = 427,894.83 × 189,246.15
  4. Step 4: Simplify right side
    310,034.84x = 80,977,447,446.70
  5. Step 5: Solve for x
    x = 80,977,447,446.70/310,034.84
  6. Step 6: Final answer
    x = 261,188.22

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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.