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Finding the Fourth Proportional to 455,465.18, 682,740.55 and 155,740.78

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Solution

The fourth proportional to 455,465.18, 682,740.55 and 155,740.78 is: 233,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,465.18 : 682,740.55 = 155,740.78 : x
  2. Step 2: Convert to fraction form
    455,465.18/682,740.55 = 155,740.78/x
  3. Step 3: Cross multiply
    455,465.18x = 682,740.55 × 155,740.78
  4. Step 4: Simplify right side
    455,465.18x = 106,330,542,126.27
  5. Step 5: Solve for x
    x = 106,330,542,126.27/455,465.18
  6. Step 6: Final answer
    x = 233,454.82

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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.