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Finding the Fourth Proportional to 395,395.36, 545,646.72 and 214,109.44

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Solution

The fourth proportional to 395,395.36, 545,646.72 and 214,109.44 is: 295,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,395.36 : 545,646.72 = 214,109.44 : x
  2. Step 2: Convert to fraction form
    395,395.36/545,646.72 = 214,109.44/x
  3. Step 3: Cross multiply
    395,395.36x = 545,646.72 × 214,109.44
  4. Step 4: Simplify right side
    395,395.36x = 116,828,113,657.04
  5. Step 5: Solve for x
    x = 116,828,113,657.04/395,395.36
  6. Step 6: Final answer
    x = 295,471.64

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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.