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Finding the Fourth Proportional to 320,856.52, 442,898.80 and 186,720.52

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Solution

The fourth proportional to 320,856.52, 442,898.80 and 186,720.52 is: 257,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,856.52 : 442,898.80 = 186,720.52 : x
  2. Step 2: Convert to fraction form
    320,856.52/442,898.80 = 186,720.52/x
  3. Step 3: Cross multiply
    320,856.52x = 442,898.80 × 186,720.52
  4. Step 4: Simplify right side
    320,856.52x = 82,698,294,243.38
  5. Step 5: Solve for x
    x = 82,698,294,243.38/320,856.52
  6. Step 6: Final answer
    x = 257,742.29

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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.