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Finding the Fourth Proportional to 286,349.94, 395,456.88 and 214,616.34

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Solution

The fourth proportional to 286,349.94, 395,456.88 and 214,616.34 is: 296,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,349.94 : 395,456.88 = 214,616.34 : x
  2. Step 2: Convert to fraction form
    286,349.94/395,456.88 = 214,616.34/x
  3. Step 3: Cross multiply
    286,349.94x = 395,456.88 × 214,616.34
  4. Step 4: Simplify right side
    286,349.94x = 84,871,508,213.42
  5. Step 5: Solve for x
    x = 84,871,508,213.42/286,349.94
  6. Step 6: Final answer
    x = 296,390.87

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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.