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Finding the Fourth Proportional to 430,857.40, 646,286.10 and 341,627.80

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Solution

The fourth proportional to 430,857.40, 646,286.10 and 341,627.80 is: 512,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,857.40 : 646,286.10 = 341,627.80 : x
  2. Step 2: Convert to fraction form
    430,857.40/646,286.10 = 341,627.80/x
  3. Step 3: Cross multiply
    430,857.40x = 646,286.10 × 341,627.80
  4. Step 4: Simplify right side
    430,857.40x = 220,789,298,513.58
  5. Step 5: Solve for x
    x = 220,789,298,513.58/430,857.40
  6. Step 6: Final answer
    x = 512,441.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.