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Finding the Fourth Proportional to 320,363.70, 442,094.13 and 177,120.06

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Solution

The fourth proportional to 320,363.70, 442,094.13 and 177,120.06 is: 244,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,363.70 : 442,094.13 = 177,120.06 : x
  2. Step 2: Convert to fraction form
    320,363.70/442,094.13 = 177,120.06/x
  3. Step 3: Cross multiply
    320,363.70x = 442,094.13 × 177,120.06
  4. Step 4: Simplify right side
    320,363.70x = 78,303,738,831.25
  5. Step 5: Solve for x
    x = 78,303,738,831.25/320,363.70
  6. Step 6: Final answer
    x = 244,421.38

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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.