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Finding the Fourth Proportional to 320,859.50, 442,902.94 and 186,723.50

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Solution

The fourth proportional to 320,859.50, 442,902.94 and 186,723.50 is: 257,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,859.50 : 442,902.94 = 186,723.50 : x
  2. Step 2: Convert to fraction form
    320,859.50/442,902.94 = 186,723.50/x
  3. Step 3: Cross multiply
    320,859.50x = 442,902.94 × 186,723.50
  4. Step 4: Simplify right side
    320,859.50x = 82,700,387,117.09
  5. Step 5: Solve for x
    x = 82,700,387,117.09/320,859.50
  6. Step 6: Final answer
    x = 257,746.42

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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.