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Finding the Fourth Proportional to 285,360, 393,795.96 and 164,500.62

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Solution

The fourth proportional to 285,360, 393,795.96 and 164,500.62 is: 227,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,360 : 393,795.96 = 164,500.62 : x
  2. Step 2: Convert to fraction form
    285,360/393,795.96 = 164,500.62/x
  3. Step 3: Cross multiply
    285,360x = 393,795.96 × 164,500.62
  4. Step 4: Simplify right side
    285,360x = 64,779,679,573.50
  5. Step 5: Solve for x
    x = 64,779,679,573.50/285,360
  6. Step 6: Final answer
    x = 227,010.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.