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Finding the Fourth Proportional to 311,718.49, 430,162.89 and 175,751.24

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Solution

The fourth proportional to 311,718.49, 430,162.89 and 175,751.24 is: 242,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,718.49 : 430,162.89 = 175,751.24 : x
  2. Step 2: Convert to fraction form
    311,718.49/430,162.89 = 175,751.24/x
  3. Step 3: Cross multiply
    311,718.49x = 430,162.89 × 175,751.24
  4. Step 4: Simplify right side
    311,718.49x = 75,601,658,509.60
  5. Step 5: Solve for x
    x = 75,601,658,509.60/311,718.49
  6. Step 6: Final answer
    x = 242,531.84

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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.