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Finding the Fourth Proportional to 395,428.65, 545,690.69 and 214,140.02

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Solution

The fourth proportional to 395,428.65, 545,690.69 and 214,140.02 is: 295,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,428.65 : 545,690.69 = 214,140.02 : x
  2. Step 2: Convert to fraction form
    395,428.65/545,690.69 = 214,140.02/x
  3. Step 3: Cross multiply
    395,428.65x = 545,690.69 × 214,140.02
  4. Step 4: Simplify right side
    395,428.65x = 116,854,212,274.29
  5. Step 5: Solve for x
    x = 116,854,212,274.29/395,428.65
  6. Step 6: Final answer
    x = 295,512.76

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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.