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Finding the Fourth Proportional to 455,316.32, 683,048.55 and 171,029

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Solution

The fourth proportional to 455,316.32, 683,048.55 and 171,029 is: 256,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,316.32 : 683,048.55 = 171,029 : x
  2. Step 2: Convert to fraction form
    455,316.32/683,048.55 = 171,029/x
  3. Step 3: Cross multiply
    455,316.32x = 683,048.55 × 171,029
  4. Step 4: Simplify right side
    455,316.32x = 116,821,110,457.95
  5. Step 5: Solve for x
    x = 116,821,110,457.95/455,316.32
  6. Step 6: Final answer
    x = 256,571.32

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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.