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Finding the Fourth Proportional to 318,567.80, 477,630.26 and 140,977.94

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Solution

The fourth proportional to 318,567.80, 477,630.26 and 140,977.94 is: 211,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,567.80 : 477,630.26 = 140,977.94 : x
  2. Step 2: Convert to fraction form
    318,567.80/477,630.26 = 140,977.94/x
  3. Step 3: Cross multiply
    318,567.80x = 477,630.26 × 140,977.94
  4. Step 4: Simplify right side
    318,567.80x = 67,335,327,043.42
  5. Step 5: Solve for x
    x = 67,335,327,043.42/318,567.80
  6. Step 6: Final answer
    x = 211,368.91

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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.