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Finding the Fourth Proportional to 280,011.81, 420,016.87 and 69,649.75

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Solution

The fourth proportional to 280,011.81, 420,016.87 and 69,649.75 is: 104,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,011.81 : 420,016.87 = 69,649.75 : x
  2. Step 2: Convert to fraction form
    280,011.81/420,016.87 = 69,649.75/x
  3. Step 3: Cross multiply
    280,011.81x = 420,016.87 × 69,649.75
  4. Step 4: Simplify right side
    280,011.81x = 29,254,069,991.28
  5. Step 5: Solve for x
    x = 29,254,069,991.28/280,011.81
  6. Step 6: Final answer
    x = 104,474.41

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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.