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Finding the Fourth Proportional to 764,594.83, 1,055,168 and 420,457.15

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Solution

The fourth proportional to 764,594.83, 1,055,168 and 420,457.15 is: 580,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,594.83 : 1,055,168 = 420,457.15 : x
  2. Step 2: Convert to fraction form
    764,594.83/1,055,168 = 420,457.15/x
  3. Step 3: Cross multiply
    764,594.83x = 1,055,168 × 420,457.15
  4. Step 4: Simplify right side
    764,594.83x = 443,652,930,051.20
  5. Step 5: Solve for x
    x = 443,652,930,051.20/764,594.83
  6. Step 6: Final answer
    x = 580,245.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.