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Finding the Fourth Proportional to 284,609.60, 426,914.40 and 107,156.42

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Solution

The fourth proportional to 284,609.60, 426,914.40 and 107,156.42 is: 160,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,609.60 : 426,914.40 = 107,156.42 : x
  2. Step 2: Convert to fraction form
    284,609.60/426,914.40 = 107,156.42/x
  3. Step 3: Cross multiply
    284,609.60x = 426,914.40 × 107,156.42
  4. Step 4: Simplify right side
    284,609.60x = 45,746,618,750.45
  5. Step 5: Solve for x
    x = 45,746,618,750.45/284,609.60
  6. Step 6: Final answer
    x = 160,734.63

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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.