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Finding the Fourth Proportional to 368,432, 508,436.18 and 209,456

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Solution

The fourth proportional to 368,432, 508,436.18 and 209,456 is: 289,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,432 : 508,436.18 = 209,456 : x
  2. Step 2: Convert to fraction form
    368,432/508,436.18 = 209,456/x
  3. Step 3: Cross multiply
    368,432x = 508,436.18 × 209,456
  4. Step 4: Simplify right side
    368,432x = 106,495,008,518.08
  5. Step 5: Solve for x
    x = 106,495,008,518.08/368,432
  6. Step 6: Final answer
    x = 289,049.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.