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Finding the Fourth Proportional to 492,657.30, 678,938.09 and 356,460.66

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Solution

The fourth proportional to 492,657.30, 678,938.09 and 356,460.66 is: 491,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,657.30 : 678,938.09 = 356,460.66 : x
  2. Step 2: Convert to fraction form
    492,657.30/678,938.09 = 356,460.66/x
  3. Step 3: Cross multiply
    492,657.30x = 678,938.09 × 356,460.66
  4. Step 4: Simplify right side
    492,657.30x = 242,014,717,878.24
  5. Step 5: Solve for x
    x = 242,014,717,878.24/492,657.30
  6. Step 6: Final answer
    x = 491,243.54

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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.