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Finding the Fourth Proportional to 290,812.58, 401,124.11 and 188,655.47

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Solution

The fourth proportional to 290,812.58, 401,124.11 and 188,655.47 is: 260,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,812.58 : 401,124.11 = 188,655.47 : x
  2. Step 2: Convert to fraction form
    290,812.58/401,124.11 = 188,655.47/x
  3. Step 3: Cross multiply
    290,812.58x = 401,124.11 × 188,655.47
  4. Step 4: Simplify right side
    290,812.58x = 75,674,257,559.91
  5. Step 5: Solve for x
    x = 75,674,257,559.91/290,812.58
  6. Step 6: Final answer
    x = 260,216.59

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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.