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Finding the Fourth Proportional to 289,598.10, 434,915.55 and 280,266.90

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Solution

The fourth proportional to 289,598.10, 434,915.55 and 280,266.90 is: 420,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,598.10 : 434,915.55 = 280,266.90 : x
  2. Step 2: Convert to fraction form
    289,598.10/434,915.55 = 280,266.90/x
  3. Step 3: Cross multiply
    289,598.10x = 434,915.55 × 280,266.90
  4. Step 4: Simplify right side
    289,598.10x = 121,892,432,960.30
  5. Step 5: Solve for x
    x = 121,892,432,960.30/289,598.10
  6. Step 6: Final answer
    x = 420,902.05

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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.