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Finding the Fourth Proportional to 455,145.40, 681,405.90 and 442,023.40

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Solution

The fourth proportional to 455,145.40, 681,405.90 and 442,023.40 is: 661,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,145.40 : 681,405.90 = 442,023.40 : x
  2. Step 2: Convert to fraction form
    455,145.40/681,405.90 = 442,023.40/x
  3. Step 3: Cross multiply
    455,145.40x = 681,405.90 × 442,023.40
  4. Step 4: Simplify right side
    455,145.40x = 301,197,352,698.06
  5. Step 5: Solve for x
    x = 301,197,352,698.06/455,145.40
  6. Step 6: Final answer
    x = 661,760.73

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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.