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Finding the Fourth Proportional to 290,804.16, 436,227 and 77,570.88

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Solution

The fourth proportional to 290,804.16, 436,227 and 77,570.88 is: 116,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,804.16 : 436,227 = 77,570.88 : x
  2. Step 2: Convert to fraction form
    290,804.16/436,227 = 77,570.88/x
  3. Step 3: Cross multiply
    290,804.16x = 436,227 × 77,570.88
  4. Step 4: Simplify right side
    290,804.16x = 33,838,512,269.76
  5. Step 5: Solve for x
    x = 33,838,512,269.76/290,804.16
  6. Step 6: Final answer
    x = 116,361.86

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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.