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Finding the Fourth Proportional to 475,486.30, 656,238.38 and 294,256.58

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Solution

The fourth proportional to 475,486.30, 656,238.38 and 294,256.58 is: 406,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,486.30 : 656,238.38 = 294,256.58 : x
  2. Step 2: Convert to fraction form
    475,486.30/656,238.38 = 294,256.58/x
  3. Step 3: Cross multiply
    475,486.30x = 656,238.38 × 294,256.58
  4. Step 4: Simplify right side
    475,486.30x = 193,102,461,532.85
  5. Step 5: Solve for x
    x = 193,102,461,532.85/475,486.30
  6. Step 6: Final answer
    x = 406,115.72

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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.