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Finding the Fourth Proportional to 395,612.13, 545,944.05 and 214,328.64

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Solution

The fourth proportional to 395,612.13, 545,944.05 and 214,328.64 is: 295,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,612.13 : 545,944.05 = 214,328.64 : x
  2. Step 2: Convert to fraction form
    395,612.13/545,944.05 = 214,328.64/x
  3. Step 3: Cross multiply
    395,612.13x = 545,944.05 × 214,328.64
  4. Step 4: Simplify right side
    395,612.13x = 117,011,445,752.59
  5. Step 5: Solve for x
    x = 117,011,445,752.59/395,612.13
  6. Step 6: Final answer
    x = 295,773.15

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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.