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Finding the Fourth Proportional to 311,715.32, 430,158.53 and 175,748.08

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Solution

The fourth proportional to 311,715.32, 430,158.53 and 175,748.08 is: 242,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,715.32 : 430,158.53 = 175,748.08 : x
  2. Step 2: Convert to fraction form
    311,715.32/430,158.53 = 175,748.08/x
  3. Step 3: Cross multiply
    311,715.32x = 430,158.53 × 175,748.08
  4. Step 4: Simplify right side
    311,715.32x = 75,599,533,592.33
  5. Step 5: Solve for x
    x = 75,599,533,592.33/311,715.32
  6. Step 6: Final answer
    x = 242,527.49

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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.