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Finding the Fourth Proportional to 419,071.68, 578,057.76 and 255,653.52

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Solution

The fourth proportional to 419,071.68, 578,057.76 and 255,653.52 is: 352,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,071.68 : 578,057.76 = 255,653.52 : x
  2. Step 2: Convert to fraction form
    419,071.68/578,057.76 = 255,653.52/x
  3. Step 3: Cross multiply
    419,071.68x = 578,057.76 × 255,653.52
  4. Step 4: Simplify right side
    419,071.68x = 147,782,501,107.32
  5. Step 5: Solve for x
    x = 147,782,501,107.32/419,071.68
  6. Step 6: Final answer
    x = 352,642.54

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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.