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Finding the Fourth Proportional to 405,139.65, 559,104 and 223,863.32

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Solution

The fourth proportional to 405,139.65, 559,104 and 223,863.32 is: 308,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,139.65 : 559,104 = 223,863.32 : x
  2. Step 2: Convert to fraction form
    405,139.65/559,104 = 223,863.32/x
  3. Step 3: Cross multiply
    405,139.65x = 559,104 × 223,863.32
  4. Step 4: Simplify right side
    405,139.65x = 125,162,877,665.28
  5. Step 5: Solve for x
    x = 125,162,877,665.28/405,139.65
  6. Step 6: Final answer
    x = 308,937.62

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1.5x scale

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.