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Finding the Fourth Proportional to 747,069, 1,030,958.28 and 407,544.36

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Solution

The fourth proportional to 747,069, 1,030,958.28 and 407,544.36 is: 562,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,069 : 1,030,958.28 = 407,544.36 : x
  2. Step 2: Convert to fraction form
    747,069/1,030,958.28 = 407,544.36/x
  3. Step 3: Cross multiply
    747,069x = 1,030,958.28 × 407,544.36
  4. Step 4: Simplify right side
    747,069x = 420,161,232,409.30
  5. Step 5: Solve for x
    x = 420,161,232,409.30/747,069
  6. Step 6: Final answer
    x = 562,412.89

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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.