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Finding the Fourth Proportional to 318,775.10, 477,940.71 and 141,185.84

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Solution

The fourth proportional to 318,775.10, 477,940.71 and 141,185.84 is: 211,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,775.10 : 477,940.71 = 141,185.84 : x
  2. Step 2: Convert to fraction form
    318,775.10/477,940.71 = 141,185.84/x
  3. Step 3: Cross multiply
    318,775.10x = 477,940.71 × 141,185.84
  4. Step 4: Simplify right side
    318,775.10x = 67,478,459,905.62
  5. Step 5: Solve for x
    x = 67,478,459,905.62/318,775.10
  6. Step 6: Final answer
    x = 211,680.46

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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.