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Finding the Fourth Proportional to 285,658.40, 428,487.60 and 180,941.60

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Solution

The fourth proportional to 285,658.40, 428,487.60 and 180,941.60 is: 271,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,658.40 : 428,487.60 = 180,941.60 : x
  2. Step 2: Convert to fraction form
    285,658.40/428,487.60 = 180,941.60/x
  3. Step 3: Cross multiply
    285,658.40x = 428,487.60 × 180,941.60
  4. Step 4: Simplify right side
    285,658.40x = 77,531,231,924.16
  5. Step 5: Solve for x
    x = 77,531,231,924.16/285,658.40
  6. Step 6: Final answer
    x = 271,412.40

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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.