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Finding the Fourth Proportional to 309,423.60, 426,966.39 and 188,520.84

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Solution

The fourth proportional to 309,423.60, 426,966.39 and 188,520.84 is: 260,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,423.60 : 426,966.39 = 188,520.84 : x
  2. Step 2: Convert to fraction form
    309,423.60/426,966.39 = 188,520.84/x
  3. Step 3: Cross multiply
    309,423.60x = 426,966.39 × 188,520.84
  4. Step 4: Simplify right side
    309,423.60x = 80,492,062,494.57
  5. Step 5: Solve for x
    x = 80,492,062,494.57/309,423.60
  6. Step 6: Final answer
    x = 260,135.50

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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.