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Finding the Fourth Proportional to 290,881.80, 436,322.70 and 178,907.40

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Solution

The fourth proportional to 290,881.80, 436,322.70 and 178,907.40 is: 268,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,881.80 : 436,322.70 = 178,907.40 : x
  2. Step 2: Convert to fraction form
    290,881.80/436,322.70 = 178,907.40/x
  3. Step 3: Cross multiply
    290,881.80x = 436,322.70 × 178,907.40
  4. Step 4: Simplify right side
    290,881.80x = 78,061,359,817.98
  5. Step 5: Solve for x
    x = 78,061,359,817.98/290,881.80
  6. Step 6: Final answer
    x = 268,361.10

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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.