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Finding the Fourth Proportional to 311,902.14, 430,415.24 and 175,934.10

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Solution

The fourth proportional to 311,902.14, 430,415.24 and 175,934.10 is: 242,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,902.14 : 430,415.24 = 175,934.10 : x
  2. Step 2: Convert to fraction form
    311,902.14/430,415.24 = 175,934.10/x
  3. Step 3: Cross multiply
    311,902.14x = 430,415.24 × 175,934.10
  4. Step 4: Simplify right side
    311,902.14x = 75,724,717,875.68
  5. Step 5: Solve for x
    x = 75,724,717,875.68/311,902.14
  6. Step 6: Final answer
    x = 242,783.58

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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.