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Finding the Fourth Proportional to 395,513.96, 545,807.92 and 214,225.44

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Solution

The fourth proportional to 395,513.96, 545,807.92 and 214,225.44 is: 295,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,513.96 : 545,807.92 = 214,225.44 : x
  2. Step 2: Convert to fraction form
    395,513.96/545,807.92 = 214,225.44/x
  3. Step 3: Cross multiply
    395,513.96x = 545,807.92 × 214,225.44
  4. Step 4: Simplify right side
    395,513.96x = 116,925,941,817.49
  5. Step 5: Solve for x
    x = 116,925,941,817.49/395,513.96
  6. Step 6: Final answer
    x = 295,630.38

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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.