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Finding the Fourth Proportional to 492,129, 678,943.62 and 310,773.24

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Solution

The fourth proportional to 492,129, 678,943.62 and 310,773.24 is: 428,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,129 : 678,943.62 = 310,773.24 : x
  2. Step 2: Convert to fraction form
    492,129/678,943.62 = 310,773.24/x
  3. Step 3: Cross multiply
    492,129x = 678,943.62 × 310,773.24
  4. Step 4: Simplify right side
    492,129x = 210,997,508,564.73
  5. Step 5: Solve for x
    x = 210,997,508,564.73/492,129
  6. Step 6: Final answer
    x = 428,744.31

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1.5x scale

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.