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Finding the Fourth Proportional to 456,351.02, 683,125.24 and 287,078.78

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Solution

The fourth proportional to 456,351.02, 683,125.24 and 287,078.78 is: 429,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,351.02 : 683,125.24 = 287,078.78 : x
  2. Step 2: Convert to fraction form
    456,351.02/683,125.24 = 287,078.78/x
  3. Step 3: Cross multiply
    456,351.02x = 683,125.24 × 287,078.78
  4. Step 4: Simplify right side
    456,351.02x = 196,110,760,486.41
  5. Step 5: Solve for x
    x = 196,110,760,486.41/456,351.02
  6. Step 6: Final answer
    x = 429,736.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.