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Finding the Fourth Proportional to 395,477.40, 545,756.10 and 214,185.20

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Solution

The fourth proportional to 395,477.40, 545,756.10 and 214,185.20 is: 295,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,477.40 : 545,756.10 = 214,185.20 : x
  2. Step 2: Convert to fraction form
    395,477.40/545,756.10 = 214,185.20/x
  3. Step 3: Cross multiply
    395,477.40x = 545,756.10 × 214,185.20
  4. Step 4: Simplify right side
    395,477.40x = 116,892,876,700.94
  5. Step 5: Solve for x
    x = 116,892,876,700.94/395,477.40
  6. Step 6: Final answer
    x = 295,574.10

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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.