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Finding the Fourth Proportional to 320,384.88, 442,120.28 and 184,399.97

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Solution

The fourth proportional to 320,384.88, 442,120.28 and 184,399.97 is: 254,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,384.88 : 442,120.28 = 184,399.97 : x
  2. Step 2: Convert to fraction form
    320,384.88/442,120.28 = 184,399.97/x
  3. Step 3: Cross multiply
    320,384.88x = 442,120.28 × 184,399.97
  4. Step 4: Simplify right side
    320,384.88x = 81,526,963,235.79
  5. Step 5: Solve for x
    x = 81,526,963,235.79/320,384.88
  6. Step 6: Final answer
    x = 254,465.70

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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.