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Finding the Fourth Proportional to 311,638.14, 430,034.79 and 175,705.51

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Solution

The fourth proportional to 311,638.14, 430,034.79 and 175,705.51 is: 242,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,638.14 : 430,034.79 = 175,705.51 : x
  2. Step 2: Convert to fraction form
    311,638.14/430,034.79 = 175,705.51/x
  3. Step 3: Cross multiply
    311,638.14x = 430,034.79 × 175,705.51
  4. Step 4: Simplify right side
    311,638.14x = 75,559,479,944.52
  5. Step 5: Solve for x
    x = 75,559,479,944.52/311,638.14
  6. Step 6: Final answer
    x = 242,459.03

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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.