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Finding the Fourth Proportional to 368,957.40, 509,197.42 and 215,986.31

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Solution

The fourth proportional to 368,957.40, 509,197.42 and 215,986.31 is: 298,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,957.40 : 509,197.42 = 215,986.31 : x
  2. Step 2: Convert to fraction form
    368,957.40/509,197.42 = 215,986.31/x
  3. Step 3: Cross multiply
    368,957.40x = 509,197.42 × 215,986.31
  4. Step 4: Simplify right side
    368,957.40x = 109,979,671,440.81
  5. Step 5: Solve for x
    x = 109,979,671,440.81/368,957.40
  6. Step 6: Final answer
    x = 298,082.31

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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.