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Finding the Fourth Proportional to 395,402.72, 545,658.32 and 214,114.66

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Solution

The fourth proportional to 395,402.72, 545,658.32 and 214,114.66 is: 295,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,402.72 : 545,658.32 = 214,114.66 : x
  2. Step 2: Convert to fraction form
    395,402.72/545,658.32 = 214,114.66/x
  3. Step 3: Cross multiply
    395,402.72x = 545,658.32 × 214,114.66
  4. Step 4: Simplify right side
    395,402.72x = 116,833,444,834.11
  5. Step 5: Solve for x
    x = 116,833,444,834.11/395,402.72
  6. Step 6: Final answer
    x = 295,479.62

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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.