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Finding the Fourth Proportional to 285,409.80, 428,114.70 and 174,817.80

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Solution

The fourth proportional to 285,409.80, 428,114.70 and 174,817.80 is: 262,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,409.80 : 428,114.70 = 174,817.80 : x
  2. Step 2: Convert to fraction form
    285,409.80/428,114.70 = 174,817.80/x
  3. Step 3: Cross multiply
    285,409.80x = 428,114.70 × 174,817.80
  4. Step 4: Simplify right side
    285,409.80x = 74,842,070,001.66
  5. Step 5: Solve for x
    x = 74,842,070,001.66/285,409.80
  6. Step 6: Final answer
    x = 262,226.70

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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.