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Finding the Fourth Proportional to 318,852.94, 477,951.36 and 141,443.50

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Solution

The fourth proportional to 318,852.94, 477,951.36 and 141,443.50 is: 212,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,852.94 : 477,951.36 = 141,443.50 : x
  2. Step 2: Convert to fraction form
    318,852.94/477,951.36 = 141,443.50/x
  3. Step 3: Cross multiply
    318,852.94x = 477,951.36 × 141,443.50
  4. Step 4: Simplify right side
    318,852.94x = 67,603,113,188.16
  5. Step 5: Solve for x
    x = 67,603,113,188.16/318,852.94
  6. Step 6: Final answer
    x = 212,019.73

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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.