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Finding the Fourth Proportional to 492,139, 678,957.42 and 310,783.24

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Solution

The fourth proportional to 492,139, 678,957.42 and 310,783.24 is: 428,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,139 : 678,957.42 = 310,783.24 : x
  2. Step 2: Convert to fraction form
    492,139/678,957.42 = 310,783.24/x
  3. Step 3: Cross multiply
    492,139x = 678,957.42 × 310,783.24
  4. Step 4: Simplify right side
    492,139x = 211,008,586,809.64
  5. Step 5: Solve for x
    x = 211,008,586,809.64/492,139
  6. Step 6: Final answer
    x = 428,758.11

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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.