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Finding the Fourth Proportional to 455,368, 628,414.32 and 254,164

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Solution

The fourth proportional to 455,368, 628,414.32 and 254,164 is: 350,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,368 : 628,414.32 = 254,164 : x
  2. Step 2: Convert to fraction form
    455,368/628,414.32 = 254,164/x
  3. Step 3: Cross multiply
    455,368x = 628,414.32 × 254,164
  4. Step 4: Simplify right side
    455,368x = 159,720,297,228.48
  5. Step 5: Solve for x
    x = 159,720,297,228.48/455,368
  6. Step 6: Final answer
    x = 350,749.94

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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.