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Finding the Fourth Proportional to 475,634.68, 712,501.42 and 285,991.20

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Solution

The fourth proportional to 475,634.68, 712,501.42 and 285,991.20 is: 428,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,634.68 : 712,501.42 = 285,991.20 : x
  2. Step 2: Convert to fraction form
    475,634.68/712,501.42 = 285,991.20/x
  3. Step 3: Cross multiply
    475,634.68x = 712,501.42 × 285,991.20
  4. Step 4: Simplify right side
    475,634.68x = 203,769,136,107.50
  5. Step 5: Solve for x
    x = 203,769,136,107.50/475,634.68
  6. Step 6: Final answer
    x = 428,415.22

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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.