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Finding the Fourth Proportional to 405,065.86, 558,988.23 and 223,789.48

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Solution

The fourth proportional to 405,065.86, 558,988.23 and 223,789.48 is: 308,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,065.86 : 558,988.23 = 223,789.48 : x
  2. Step 2: Convert to fraction form
    405,065.86/558,988.23 = 223,789.48/x
  3. Step 3: Cross multiply
    405,065.86x = 558,988.23 × 223,789.48
  4. Step 4: Simplify right side
    405,065.86x = 125,095,685,317.82
  5. Step 5: Solve for x
    x = 125,095,685,317.82/405,065.86
  6. Step 6: Final answer
    x = 308,828.01

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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.