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Finding the Fourth Proportional to 285,840.88, 428,748.24 and 117,319.60

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Solution

The fourth proportional to 285,840.88, 428,748.24 and 117,319.60 is: 175,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,840.88 : 428,748.24 = 117,319.60 : x
  2. Step 2: Convert to fraction form
    285,840.88/428,748.24 = 117,319.60/x
  3. Step 3: Cross multiply
    285,840.88x = 428,748.24 × 117,319.60
  4. Step 4: Simplify right side
    285,840.88x = 50,300,572,017.50
  5. Step 5: Solve for x
    x = 50,300,572,017.50/285,840.88
  6. Step 6: Final answer
    x = 175,974.03

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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.