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Finding the Fourth Proportional to 613,247.88, 920,024.91 and 213,894.39

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Solution

The fourth proportional to 613,247.88, 920,024.91 and 213,894.39 is: 320,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,247.88 : 920,024.91 = 213,894.39 : x
  2. Step 2: Convert to fraction form
    613,247.88/920,024.91 = 213,894.39/x
  3. Step 3: Cross multiply
    613,247.88x = 920,024.91 × 213,894.39
  4. Step 4: Simplify right side
    613,247.88x = 196,788,166,909.26
  5. Step 5: Solve for x
    x = 196,788,166,909.26/613,247.88
  6. Step 6: Final answer
    x = 320,894.98

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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.