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Finding the Fourth Proportional to 368,951.66, 509,266.20 and 216,025.70

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Solution

The fourth proportional to 368,951.66, 509,266.20 and 216,025.70 is: 298,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,951.66 : 509,266.20 = 216,025.70 : x
  2. Step 2: Convert to fraction form
    368,951.66/509,266.20 = 216,025.70/x
  3. Step 3: Cross multiply
    368,951.66x = 509,266.20 × 216,025.70
  4. Step 4: Simplify right side
    368,951.66x = 110,014,587,341.34
  5. Step 5: Solve for x
    x = 110,014,587,341.34/368,951.66
  6. Step 6: Final answer
    x = 298,181.58

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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.