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Finding the Fourth Proportional to 509,513.80, 764,270.70 and 257,571.40

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Solution

The fourth proportional to 509,513.80, 764,270.70 and 257,571.40 is: 386,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,513.80 : 764,270.70 = 257,571.40 : x
  2. Step 2: Convert to fraction form
    509,513.80/764,270.70 = 257,571.40/x
  3. Step 3: Cross multiply
    509,513.80x = 764,270.70 × 257,571.40
  4. Step 4: Simplify right side
    509,513.80x = 196,854,274,177.98
  5. Step 5: Solve for x
    x = 196,854,274,177.98/509,513.80
  6. Step 6: Final answer
    x = 386,357.10

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Double scale
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Similar ratio
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1.5x scale

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.