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Finding the Fourth Proportional to 371,426.88, 511,421.42 and 290,083.71

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Solution

The fourth proportional to 371,426.88, 511,421.42 and 290,083.71 is: 399,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,426.88 : 511,421.42 = 290,083.71 : x
  2. Step 2: Convert to fraction form
    371,426.88/511,421.42 = 290,083.71/x
  3. Step 3: Cross multiply
    371,426.88x = 511,421.42 × 290,083.71
  4. Step 4: Simplify right side
    371,426.88x = 148,355,022,887.07
  5. Step 5: Solve for x
    x = 148,355,022,887.07/371,426.88
  6. Step 6: Final answer
    x = 399,419.19

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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.