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Finding the Fourth Proportional to 390,458.73, 585,019.68 and 213,090.33

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Solution

The fourth proportional to 390,458.73, 585,019.68 and 213,090.33 is: 319,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,458.73 : 585,019.68 = 213,090.33 : x
  2. Step 2: Convert to fraction form
    390,458.73/585,019.68 = 213,090.33/x
  3. Step 3: Cross multiply
    390,458.73x = 585,019.68 × 213,090.33
  4. Step 4: Simplify right side
    390,458.73x = 124,662,036,667.69
  5. Step 5: Solve for x
    x = 124,662,036,667.69/390,458.73
  6. Step 6: Final answer
    x = 319,270.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.