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Finding the Fourth Proportional to 523,153.53, 784,531.09 and 309,981.60

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Solution

The fourth proportional to 523,153.53, 784,531.09 and 309,981.60 is: 464,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,153.53 : 784,531.09 = 309,981.60 : x
  2. Step 2: Convert to fraction form
    523,153.53/784,531.09 = 309,981.60/x
  3. Step 3: Cross multiply
    523,153.53x = 784,531.09 × 309,981.60
  4. Step 4: Simplify right side
    523,153.53x = 243,190,202,527.94
  5. Step 5: Solve for x
    x = 243,190,202,527.94/523,153.53
  6. Step 6: Final answer
    x = 464,854.37

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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.