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Finding the Fourth Proportional to 290,270.40, 434,829.60 and 255,633.60

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Solution

The fourth proportional to 290,270.40, 434,829.60 and 255,633.60 is: 382,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,270.40 : 434,829.60 = 255,633.60 : x
  2. Step 2: Convert to fraction form
    290,270.40/434,829.60 = 255,633.60/x
  3. Step 3: Cross multiply
    290,270.40x = 434,829.60 × 255,633.60
  4. Step 4: Simplify right side
    290,270.40x = 111,157,056,034.56
  5. Step 5: Solve for x
    x = 111,157,056,034.56/290,270.40
  6. Step 6: Final answer
    x = 382,943.13

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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.