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Finding the Fourth Proportional to 438,164.36, 604,288.26 and 285,147.48

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Solution

The fourth proportional to 438,164.36, 604,288.26 and 285,147.48 is: 393,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,164.36 : 604,288.26 = 285,147.48 : x
  2. Step 2: Convert to fraction form
    438,164.36/604,288.26 = 285,147.48/x
  3. Step 3: Cross multiply
    438,164.36x = 604,288.26 × 285,147.48
  4. Step 4: Simplify right side
    438,164.36x = 172,311,274,532.59
  5. Step 5: Solve for x
    x = 172,311,274,532.59/438,164.36
  6. Step 6: Final answer
    x = 393,257.17

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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.