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Finding the Fourth Proportional to 290,236.60, 435,389.51 and 140,369.20

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Solution

The fourth proportional to 290,236.60, 435,389.51 and 140,369.20 is: 210,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,236.60 : 435,389.51 = 140,369.20 : x
  2. Step 2: Convert to fraction form
    290,236.60/435,389.51 = 140,369.20/x
  3. Step 3: Cross multiply
    290,236.60x = 435,389.51 × 140,369.20
  4. Step 4: Simplify right side
    290,236.60x = 61,115,277,207.09
  5. Step 5: Solve for x
    x = 61,115,277,207.09/290,236.60
  6. Step 6: Final answer
    x = 210,570.54

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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.