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Finding the Fourth Proportional to 867,196.82, 1,300,347.05 and 380,679.86

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Solution

The fourth proportional to 867,196.82, 1,300,347.05 and 380,679.86 is: 570,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,196.82 : 1,300,347.05 = 380,679.86 : x
  2. Step 2: Convert to fraction form
    867,196.82/1,300,347.05 = 380,679.86/x
  3. Step 3: Cross multiply
    867,196.82x = 1,300,347.05 × 380,679.86
  4. Step 4: Simplify right side
    867,196.82x = 495,015,924,540.28
  5. Step 5: Solve for x
    x = 495,015,924,540.28/867,196.82
  6. Step 6: Final answer
    x = 570,823.04

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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.