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Finding the Fourth Proportional to 462,619.76, 638,062.96 and 398,198.56

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Solution

The fourth proportional to 462,619.76, 638,062.96 and 398,198.56 is: 549,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,619.76 : 638,062.96 = 398,198.56 : x
  2. Step 2: Convert to fraction form
    462,619.76/638,062.96 = 398,198.56/x
  3. Step 3: Cross multiply
    462,619.76x = 638,062.96 × 398,198.56
  4. Step 4: Simplify right side
    462,619.76x = 254,075,751,861.34
  5. Step 5: Solve for x
    x = 254,075,751,861.34/462,619.76
  6. Step 6: Final answer
    x = 549,210.76

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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.