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Finding the Fourth Proportional to 305,922.80, 458,706 and 118,715.60

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Solution

The fourth proportional to 305,922.80, 458,706 and 118,715.60 is: 178,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,922.80 : 458,706 = 118,715.60 : x
  2. Step 2: Convert to fraction form
    305,922.80/458,706 = 118,715.60/x
  3. Step 3: Cross multiply
    305,922.80x = 458,706 × 118,715.60
  4. Step 4: Simplify right side
    305,922.80x = 54,455,558,013.60
  5. Step 5: Solve for x
    x = 54,455,558,013.60/305,922.80
  6. Step 6: Final answer
    x = 178,004.25

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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.