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Finding the Fourth Proportional to 370,436.96, 511,172.64 and 209,306

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Solution

The fourth proportional to 370,436.96, 511,172.64 and 209,306 is: 288,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,436.96 : 511,172.64 = 209,306 : x
  2. Step 2: Convert to fraction form
    370,436.96/511,172.64 = 209,306/x
  3. Step 3: Cross multiply
    370,436.96x = 511,172.64 × 209,306
  4. Step 4: Simplify right side
    370,436.96x = 106,991,500,587.84
  5. Step 5: Solve for x
    x = 106,991,500,587.84/370,436.96
  6. Step 6: Final answer
    x = 288,825.12

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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.