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Finding the Fourth Proportional to 455,847.40, 683,779.91 and 140,304

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Solution

The fourth proportional to 455,847.40, 683,779.91 and 140,304 is: 210,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,847.40 : 683,779.91 = 140,304 : x
  2. Step 2: Convert to fraction form
    455,847.40/683,779.91 = 140,304/x
  3. Step 3: Cross multiply
    455,847.40x = 683,779.91 × 140,304
  4. Step 4: Simplify right side
    455,847.40x = 95,937,055,791.12
  5. Step 5: Solve for x
    x = 95,937,055,791.12/455,847.40
  6. Step 6: Final answer
    x = 210,458.71

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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.