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Finding the Fourth Proportional to 290,756.32, 436,133.24 and 77,523.80

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Solution

The fourth proportional to 290,756.32, 436,133.24 and 77,523.80 is: 116,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,756.32 : 436,133.24 = 77,523.80 : x
  2. Step 2: Convert to fraction form
    290,756.32/436,133.24 = 77,523.80/x
  3. Step 3: Cross multiply
    290,756.32x = 436,133.24 × 77,523.80
  4. Step 4: Simplify right side
    290,756.32x = 33,810,706,071.11
  5. Step 5: Solve for x
    x = 33,810,706,071.11/290,756.32
  6. Step 6: Final answer
    x = 116,285.37

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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.