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Finding the Fourth Proportional to 408,513.99, 612,787.47 and 142,301.43

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Solution

The fourth proportional to 408,513.99, 612,787.47 and 142,301.43 is: 213,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,513.99 : 612,787.47 = 142,301.43 : x
  2. Step 2: Convert to fraction form
    408,513.99/612,787.47 = 142,301.43/x
  3. Step 3: Cross multiply
    408,513.99x = 612,787.47 × 142,301.43
  4. Step 4: Simplify right side
    408,513.99x = 87,200,533,267.08
  5. Step 5: Solve for x
    x = 87,200,533,267.08/408,513.99
  6. Step 6: Final answer
    x = 213,457.89

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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.