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Finding the Fourth Proportional to 309,519.70, 434,114.90 and 309,519.70

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Solution

The fourth proportional to 309,519.70, 434,114.90 and 309,519.70 is: 434,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,519.70 : 434,114.90 = 309,519.70 : x
  2. Step 2: Convert to fraction form
    309,519.70/434,114.90 = 309,519.70/x
  3. Step 3: Cross multiply
    309,519.70x = 434,114.90 × 309,519.70
  4. Step 4: Simplify right side
    309,519.70x = 134,367,113,613.53
  5. Step 5: Solve for x
    x = 134,367,113,613.53/309,519.70
  6. Step 6: Final answer
    x = 434,114.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.