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Finding the Fourth Proportional to 510,107.60, 764,505.30 and 310,215.80

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Solution

The fourth proportional to 510,107.60, 764,505.30 and 310,215.80 is: 464,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,107.60 : 764,505.30 = 310,215.80 : x
  2. Step 2: Convert to fraction form
    510,107.60/764,505.30 = 310,215.80/x
  3. Step 3: Cross multiply
    510,107.60x = 764,505.30 × 310,215.80
  4. Step 4: Simplify right side
    510,107.60x = 237,161,623,243.74
  5. Step 5: Solve for x
    x = 237,161,623,243.74/510,107.60
  6. Step 6: Final answer
    x = 464,924.70

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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.