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Finding the Fourth Proportional to 455,346, 628,377.48 and 254,142

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Solution

The fourth proportional to 455,346, 628,377.48 and 254,142 is: 350,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,346 : 628,377.48 = 254,142 : x
  2. Step 2: Convert to fraction form
    455,346/628,377.48 = 254,142/x
  3. Step 3: Cross multiply
    455,346x = 628,377.48 × 254,142
  4. Step 4: Simplify right side
    455,346x = 159,697,109,522.16
  5. Step 5: Solve for x
    x = 159,697,109,522.16/455,346
  6. Step 6: Final answer
    x = 350,715.96

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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.