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Finding the Fourth Proportional to 309,670.40, 464,851.20 and 289,366.40

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Solution

The fourth proportional to 309,670.40, 464,851.20 and 289,366.40 is: 434,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,670.40 : 464,851.20 = 289,366.40 : x
  2. Step 2: Convert to fraction form
    309,670.40/464,851.20 = 289,366.40/x
  3. Step 3: Cross multiply
    309,670.40x = 464,851.20 × 289,366.40
  4. Step 4: Simplify right side
    309,670.40x = 134,512,318,279.68
  5. Step 5: Solve for x
    x = 134,512,318,279.68/309,670.40
  6. Step 6: Final answer
    x = 434,372.54

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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.