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Finding the Fourth Proportional to 399,527.86, 598,609.59 and 219,763.66

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Solution

The fourth proportional to 399,527.86, 598,609.59 and 219,763.66 is: 329,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,527.86 : 598,609.59 = 219,763.66 : x
  2. Step 2: Convert to fraction form
    399,527.86/598,609.59 = 219,763.66/x
  3. Step 3: Cross multiply
    399,527.86x = 598,609.59 × 219,763.66
  4. Step 4: Simplify right side
    399,527.86x = 131,552,634,409.50
  5. Step 5: Solve for x
    x = 131,552,634,409.50/399,527.86
  6. Step 6: Final answer
    x = 329,270.24

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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.