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Finding the Fourth Proportional to 455,256, 629,283.60 and 414,833.76

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Solution

The fourth proportional to 455,256, 629,283.60 and 414,833.76 is: 573,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,256 : 629,283.60 = 414,833.76 : x
  2. Step 2: Convert to fraction form
    455,256/629,283.60 = 414,833.76/x
  3. Step 3: Cross multiply
    455,256x = 629,283.60 × 414,833.76
  4. Step 4: Simplify right side
    455,256x = 261,048,081,894.34
  5. Step 5: Solve for x
    x = 261,048,081,894.34/455,256
  6. Step 6: Final answer
    x = 573,409.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.