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Finding the Fourth Proportional to 318,006, 477,009.81 and 96,390

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Solution

The fourth proportional to 318,006, 477,009.81 and 96,390 is: 144,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,006 : 477,009.81 = 96,390 : x
  2. Step 2: Convert to fraction form
    318,006/477,009.81 = 96,390/x
  3. Step 3: Cross multiply
    318,006x = 477,009.81 × 96,390
  4. Step 4: Simplify right side
    318,006x = 45,978,975,585.90
  5. Step 5: Solve for x
    x = 45,978,975,585.90/318,006
  6. Step 6: Final answer
    x = 144,585.25

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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.