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Finding the Fourth Proportional to 392,968.77, 542,296.91 and 214,120.77

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Solution

The fourth proportional to 392,968.77, 542,296.91 and 214,120.77 is: 295,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,968.77 : 542,296.91 = 214,120.77 : x
  2. Step 2: Convert to fraction form
    392,968.77/542,296.91 = 214,120.77/x
  3. Step 3: Cross multiply
    392,968.77x = 542,296.91 × 214,120.77
  4. Step 4: Simplify right side
    392,968.77x = 116,117,032,473.12
  5. Step 5: Solve for x
    x = 116,117,032,473.12/392,968.77
  6. Step 6: Final answer
    x = 295,486.67

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1.5x scale

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.