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Finding the Fourth Proportional to 455,055, 682,051 and 342,373.20

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Solution

The fourth proportional to 455,055, 682,051 and 342,373.20 is: 513,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,055 : 682,051 = 342,373.20 : x
  2. Step 2: Convert to fraction form
    455,055/682,051 = 342,373.20/x
  3. Step 3: Cross multiply
    455,055x = 682,051 × 342,373.20
  4. Step 4: Simplify right side
    455,055x = 233,515,983,433.20
  5. Step 5: Solve for x
    x = 233,515,983,433.20/455,055
  6. Step 6: Final answer
    x = 513,159.91

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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.