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Finding the Fourth Proportional to 484,858.81, 727,039.22 and 260,408.14

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Solution

The fourth proportional to 484,858.81, 727,039.22 and 260,408.14 is: 390,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,858.81 : 727,039.22 = 260,408.14 : x
  2. Step 2: Convert to fraction form
    484,858.81/727,039.22 = 260,408.14/x
  3. Step 3: Cross multiply
    484,858.81x = 727,039.22 × 260,408.14
  4. Step 4: Simplify right side
    484,858.81x = 189,326,930,644.81
  5. Step 5: Solve for x
    x = 189,326,930,644.81/484,858.81
  6. Step 6: Final answer
    x = 390,478.48

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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.