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Finding the Fourth Proportional to 395,945.16, 546,408.17 and 214,656.63

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Solution

The fourth proportional to 395,945.16, 546,408.17 and 214,656.63 is: 296,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,945.16 : 546,408.17 = 214,656.63 : x
  2. Step 2: Convert to fraction form
    395,945.16/546,408.17 = 214,656.63/x
  3. Step 3: Cross multiply
    395,945.16x = 546,408.17 × 214,656.63
  4. Step 4: Simplify right side
    395,945.16x = 117,290,135,303.38
  5. Step 5: Solve for x
    x = 117,290,135,303.38/395,945.16
  6. Step 6: Final answer
    x = 296,228.23

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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.