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Finding the Fourth Proportional to 395,045.13, 545,158.19 and 213,753.06

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Solution

The fourth proportional to 395,045.13, 545,158.19 and 213,753.06 is: 294,977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,045.13 : 545,158.19 = 213,753.06 : x
  2. Step 2: Convert to fraction form
    395,045.13/545,158.19 = 213,753.06/x
  3. Step 3: Cross multiply
    395,045.13x = 545,158.19 × 213,753.06
  4. Step 4: Simplify right side
    395,045.13x = 116,529,231,296.56
  5. Step 5: Solve for x
    x = 116,529,231,296.56/395,045.13
  6. Step 6: Final answer
    x = 294,977.01

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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.