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Finding the Fourth Proportional to 311,762.43, 430,348.46 and 242,715.08

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Solution

The fourth proportional to 311,762.43, 430,348.46 and 242,715.08 is: 335,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,762.43 : 430,348.46 = 242,715.08 : x
  2. Step 2: Convert to fraction form
    311,762.43/430,348.46 = 242,715.08/x
  3. Step 3: Cross multiply
    311,762.43x = 430,348.46 × 242,715.08
  4. Step 4: Simplify right side
    311,762.43x = 104,452,062,636.32
  5. Step 5: Solve for x
    x = 104,452,062,636.32/311,762.43
  6. Step 6: Final answer
    x = 335,037.36

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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.