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Finding the Fourth Proportional to 509,365.88, 762,998.94 and 298,364.12

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Solution

The fourth proportional to 509,365.88, 762,998.94 and 298,364.12 is: 446,931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,365.88 : 762,998.94 = 298,364.12 : x
  2. Step 2: Convert to fraction form
    509,365.88/762,998.94 = 298,364.12/x
  3. Step 3: Cross multiply
    509,365.88x = 762,998.94 × 298,364.12
  4. Step 4: Simplify right side
    509,365.88x = 227,651,507,294.03
  5. Step 5: Solve for x
    x = 227,651,507,294.03/509,365.88
  6. Step 6: Final answer
    x = 446,931.21

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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.