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Finding the Fourth Proportional to 320,856.50, 442,898.79 and 186,720.50

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Solution

The fourth proportional to 320,856.50, 442,898.79 and 186,720.50 is: 257,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,856.50 : 442,898.79 = 186,720.50 : x
  2. Step 2: Convert to fraction form
    320,856.50/442,898.79 = 186,720.50/x
  3. Step 3: Cross multiply
    320,856.50x = 442,898.79 × 186,720.50
  4. Step 4: Simplify right side
    320,856.50x = 82,698,283,518.20
  5. Step 5: Solve for x
    x = 82,698,283,518.20/320,856.50
  6. Step 6: Final answer
    x = 257,742.27

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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.