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Finding the Fourth Proportional to 290,627.20, 435,940.80 and 241,475.20

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Solution

The fourth proportional to 290,627.20, 435,940.80 and 241,475.20 is: 362,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,627.20 : 435,940.80 = 241,475.20 : x
  2. Step 2: Convert to fraction form
    290,627.20/435,940.80 = 241,475.20/x
  3. Step 3: Cross multiply
    290,627.20x = 435,940.80 × 241,475.20
  4. Step 4: Simplify right side
    290,627.20x = 105,268,891,868.16
  5. Step 5: Solve for x
    x = 105,268,891,868.16/290,627.20
  6. Step 6: Final answer
    x = 362,212.80

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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.