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Finding the Fourth Proportional to 492,140, 678,958.80 and 310,784.24

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Solution

The fourth proportional to 492,140, 678,958.80 and 310,784.24 is: 428,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,140 : 678,958.80 = 310,784.24 : x
  2. Step 2: Convert to fraction form
    492,140/678,958.80 = 310,784.24/x
  3. Step 3: Cross multiply
    492,140x = 678,958.80 × 310,784.24
  4. Step 4: Simplify right side
    492,140x = 211,009,694,649.31
  5. Step 5: Solve for x
    x = 211,009,694,649.31/492,140
  6. Step 6: Final answer
    x = 428,759.49

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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.