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Finding the Fourth Proportional to 290,851.20, 436,276.80 and 288,777.60

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Solution

The fourth proportional to 290,851.20, 436,276.80 and 288,777.60 is: 433,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,851.20 : 436,276.80 = 288,777.60 : x
  2. Step 2: Convert to fraction form
    290,851.20/436,276.80 = 288,777.60/x
  3. Step 3: Cross multiply
    290,851.20x = 436,276.80 × 288,777.60
  4. Step 4: Simplify right side
    290,851.20x = 125,986,967,239.68
  5. Step 5: Solve for x
    x = 125,986,967,239.68/290,851.20
  6. Step 6: Final answer
    x = 433,166.40

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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.