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Finding the Fourth Proportional to 407,395.94, 562,212.51 and 223,649.60

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Solution

The fourth proportional to 407,395.94, 562,212.51 and 223,649.60 is: 308,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,395.94 : 562,212.51 = 223,649.60 : x
  2. Step 2: Convert to fraction form
    407,395.94/562,212.51 = 223,649.60/x
  3. Step 3: Cross multiply
    407,395.94x = 562,212.51 × 223,649.60
  4. Step 4: Simplify right side
    407,395.94x = 125,738,602,976.50
  5. Step 5: Solve for x
    x = 125,738,602,976.50/407,395.94
  6. Step 6: Final answer
    x = 308,639.80

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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.