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Finding the Fourth Proportional to 320,812.50, 442,838.07 and 186,676.50

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Solution

The fourth proportional to 320,812.50, 442,838.07 and 186,676.50 is: 257,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,812.50 : 442,838.07 = 186,676.50 : x
  2. Step 2: Convert to fraction form
    320,812.50/442,838.07 = 186,676.50/x
  3. Step 3: Cross multiply
    320,812.50x = 442,838.07 × 186,676.50
  4. Step 4: Simplify right side
    320,812.50x = 82,667,460,974.36
  5. Step 5: Solve for x
    x = 82,667,460,974.36/320,812.50
  6. Step 6: Final answer
    x = 257,681.55

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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.