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Finding the Fourth Proportional to 293,953.86, 405,729.81 and 180,711

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Solution

The fourth proportional to 293,953.86, 405,729.81 and 180,711 is: 249,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,953.86 : 405,729.81 = 180,711 : x
  2. Step 2: Convert to fraction form
    293,953.86/405,729.81 = 180,711/x
  3. Step 3: Cross multiply
    293,953.86x = 405,729.81 × 180,711
  4. Step 4: Simplify right side
    293,953.86x = 73,319,839,694.91
  5. Step 5: Solve for x
    x = 73,319,839,694.91/293,953.86
  6. Step 6: Final answer
    x = 249,426.35

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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.