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Finding the Fourth Proportional to 455,433.30, 683,149.95 and 139,849.20

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Solution

The fourth proportional to 455,433.30, 683,149.95 and 139,849.20 is: 209,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,433.30 : 683,149.95 = 139,849.20 : x
  2. Step 2: Convert to fraction form
    455,433.30/683,149.95 = 139,849.20/x
  3. Step 3: Cross multiply
    455,433.30x = 683,149.95 × 139,849.20
  4. Step 4: Simplify right side
    455,433.30x = 95,537,973,987.54
  5. Step 5: Solve for x
    x = 95,537,973,987.54/455,433.30
  6. Step 6: Final answer
    x = 209,773.80

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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.