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Finding the Fourth Proportional to 420,167.80, 630,155.58 and 120,646

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Solution

The fourth proportional to 420,167.80, 630,155.58 and 120,646 is: 180,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,167.80 : 630,155.58 = 120,646 : x
  2. Step 2: Convert to fraction form
    420,167.80/630,155.58 = 120,646/x
  3. Step 3: Cross multiply
    420,167.80x = 630,155.58 × 120,646
  4. Step 4: Simplify right side
    420,167.80x = 76,025,750,104.68
  5. Step 5: Solve for x
    x = 76,025,750,104.68/420,167.80
  6. Step 6: Final answer
    x = 180,941.40

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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.