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Finding the Fourth Proportional to 416,256.75, 624,483.54 and 135,774

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Solution

The fourth proportional to 416,256.75, 624,483.54 and 135,774 is: 203,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,256.75 : 624,483.54 = 135,774 : x
  2. Step 2: Convert to fraction form
    416,256.75/624,483.54 = 135,774/x
  3. Step 3: Cross multiply
    416,256.75x = 624,483.54 × 135,774
  4. Step 4: Simplify right side
    416,256.75x = 84,788,628,159.96
  5. Step 5: Solve for x
    x = 84,788,628,159.96/416,256.75
  6. Step 6: Final answer
    x = 203,693.10

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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.