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Finding the Fourth Proportional to 395,272.88, 545,475.90 and 213,984.74

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Solution

The fourth proportional to 395,272.88, 545,475.90 and 213,984.74 is: 295,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,272.88 : 545,475.90 = 213,984.74 : x
  2. Step 2: Convert to fraction form
    395,272.88/545,475.90 = 213,984.74/x
  3. Step 3: Cross multiply
    395,272.88x = 545,475.90 × 213,984.74
  4. Step 4: Simplify right side
    395,272.88x = 116,723,518,637.77
  5. Step 5: Solve for x
    x = 116,723,518,637.77/395,272.88
  6. Step 6: Final answer
    x = 295,298.58

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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.