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Finding the Fourth Proportional to 510,141.78, 764,162.64 and 299,271.24

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Solution

The fourth proportional to 510,141.78, 764,162.64 and 299,271.24 is: 448,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,141.78 : 764,162.64 = 299,271.24 : x
  2. Step 2: Convert to fraction form
    510,141.78/764,162.64 = 299,271.24/x
  3. Step 3: Cross multiply
    510,141.78x = 764,162.64 × 299,271.24
  4. Step 4: Simplify right side
    510,141.78x = 228,691,900,834.47
  5. Step 5: Solve for x
    x = 228,691,900,834.47/510,141.78
  6. Step 6: Final answer
    x = 448,290.87

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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.