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Finding the Fourth Proportional to 405,051.96, 558,969.48 and 223,776.36

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Solution

The fourth proportional to 405,051.96, 558,969.48 and 223,776.36 is: 308,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,051.96 : 558,969.48 = 223,776.36 : x
  2. Step 2: Convert to fraction form
    405,051.96/558,969.48 = 223,776.36/x
  3. Step 3: Cross multiply
    405,051.96x = 558,969.48 × 223,776.36
  4. Step 4: Simplify right side
    405,051.96x = 125,084,155,585.49
  5. Step 5: Solve for x
    x = 125,084,155,585.49/405,051.96
  6. Step 6: Final answer
    x = 308,810.15

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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.