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Finding the Fourth Proportional to 652,464.36, 978,204.20 and 427,881.34

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Solution

The fourth proportional to 652,464.36, 978,204.20 and 427,881.34 is: 641,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,464.36 : 978,204.20 = 427,881.34 : x
  2. Step 2: Convert to fraction form
    652,464.36/978,204.20 = 427,881.34/x
  3. Step 3: Cross multiply
    652,464.36x = 978,204.20 × 427,881.34
  4. Step 4: Simplify right side
    652,464.36x = 418,555,323,889.63
  5. Step 5: Solve for x
    x = 418,555,323,889.63/652,464.36
  6. Step 6: Final answer
    x = 641,499.14

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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.