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Finding the Fourth Proportional to 290,998.48, 401,350.34 and 189,056.74

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Solution

The fourth proportional to 290,998.48, 401,350.34 and 189,056.74 is: 260,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,998.48 : 401,350.34 = 189,056.74 : x
  2. Step 2: Convert to fraction form
    290,998.48/401,350.34 = 189,056.74/x
  3. Step 3: Cross multiply
    290,998.48x = 401,350.34 × 189,056.74
  4. Step 4: Simplify right side
    290,998.48x = 75,877,986,878.29
  5. Step 5: Solve for x
    x = 75,877,986,878.29/290,998.48
  6. Step 6: Final answer
    x = 260,750.46

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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.