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Finding the Fourth Proportional to 407,240.82, 562,322.52 and 254,457

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Solution

The fourth proportional to 407,240.82, 562,322.52 and 254,457 is: 351,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,240.82 : 562,322.52 = 254,457 : x
  2. Step 2: Convert to fraction form
    407,240.82/562,322.52 = 254,457/x
  3. Step 3: Cross multiply
    407,240.82x = 562,322.52 × 254,457
  4. Step 4: Simplify right side
    407,240.82x = 143,086,901,471.64
  5. Step 5: Solve for x
    x = 143,086,901,471.64/407,240.82
  6. Step 6: Final answer
    x = 351,356.97

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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.