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Finding the Fourth Proportional to 405,106.64, 558,999.52 and 223,807.76

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Solution

The fourth proportional to 405,106.64, 558,999.52 and 223,807.76 is: 308,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,106.64 : 558,999.52 = 223,807.76 : x
  2. Step 2: Convert to fraction form
    405,106.64/558,999.52 = 223,807.76/x
  3. Step 3: Cross multiply
    405,106.64x = 558,999.52 × 223,807.76
  4. Step 4: Simplify right side
    405,106.64x = 125,108,430,412.28
  5. Step 5: Solve for x
    x = 125,108,430,412.28/405,106.64
  6. Step 6: Final answer
    x = 308,828.39

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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.