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Finding the Fourth Proportional to 390,459.98, 585,021.56 and 213,091.58

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Solution

The fourth proportional to 390,459.98, 585,021.56 and 213,091.58 is: 319,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,459.98 : 585,021.56 = 213,091.58 : x
  2. Step 2: Convert to fraction form
    390,459.98/585,021.56 = 213,091.58/x
  3. Step 3: Cross multiply
    390,459.98x = 585,021.56 × 213,091.58
  4. Step 4: Simplify right side
    390,459.98x = 124,663,168,951.56
  5. Step 5: Solve for x
    x = 124,663,168,951.56/390,459.98
  6. Step 6: Final answer
    x = 319,272.59

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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.