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Finding the Fourth Proportional to 510,705.36, 764,191.80 and 300,442.32

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Solution

The fourth proportional to 510,705.36, 764,191.80 and 300,442.32 is: 449,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,705.36 : 764,191.80 = 300,442.32 : x
  2. Step 2: Convert to fraction form
    510,705.36/764,191.80 = 300,442.32/x
  3. Step 3: Cross multiply
    510,705.36x = 764,191.80 × 300,442.32
  4. Step 4: Simplify right side
    510,705.36x = 229,595,557,316.98
  5. Step 5: Solve for x
    x = 229,595,557,316.98/510,705.36
  6. Step 6: Final answer
    x = 449,565.59

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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.