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Finding the Fourth Proportional to 307,130.70, 460,696.05 and 253,986.60

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Solution

The fourth proportional to 307,130.70, 460,696.05 and 253,986.60 is: 380,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,130.70 : 460,696.05 = 253,986.60 : x
  2. Step 2: Convert to fraction form
    307,130.70/460,696.05 = 253,986.60/x
  3. Step 3: Cross multiply
    307,130.70x = 460,696.05 × 253,986.60
  4. Step 4: Simplify right side
    307,130.70x = 117,010,623,372.93
  5. Step 5: Solve for x
    x = 117,010,623,372.93/307,130.70
  6. Step 6: Final answer
    x = 380,979.90

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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.