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Finding the Fourth Proportional to 399,021.96, 598,526.62 and 185,670.55

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Solution

The fourth proportional to 399,021.96, 598,526.62 and 185,670.55 is: 278,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,021.96 : 598,526.62 = 185,670.55 : x
  2. Step 2: Convert to fraction form
    399,021.96/598,526.62 = 185,670.55/x
  3. Step 3: Cross multiply
    399,021.96x = 598,526.62 × 185,670.55
  4. Step 4: Simplify right side
    399,021.96x = 111,128,764,764.55
  5. Step 5: Solve for x
    x = 111,128,764,764.55/399,021.96
  6. Step 6: Final answer
    x = 278,502.88

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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.