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Finding the Fourth Proportional to 619,312.40, 928,745.64 and 214,394.48

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Solution

The fourth proportional to 619,312.40, 928,745.64 and 214,394.48 is: 321,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,312.40 : 928,745.64 = 214,394.48 : x
  2. Step 2: Convert to fraction form
    619,312.40/928,745.64 = 214,394.48/x
  3. Step 3: Cross multiply
    619,312.40x = 928,745.64 × 214,394.48
  4. Step 4: Simplify right side
    619,312.40x = 199,117,938,540.07
  5. Step 5: Solve for x
    x = 199,117,938,540.07/619,312.40
  6. Step 6: Final answer
    x = 321,514.54

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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.