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Finding the Fourth Proportional to 320,182.55, 480,356.83 and 170,299.55

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Solution

The fourth proportional to 320,182.55, 480,356.83 and 170,299.55 is: 255,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,182.55 : 480,356.83 = 170,299.55 : x
  2. Step 2: Convert to fraction form
    320,182.55/480,356.83 = 170,299.55/x
  3. Step 3: Cross multiply
    320,182.55x = 480,356.83 × 170,299.55
  4. Step 4: Simplify right side
    320,182.55x = 81,804,550,700.19
  5. Step 5: Solve for x
    x = 81,804,550,700.19/320,182.55
  6. Step 6: Final answer
    x = 255,493.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.