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Finding the Fourth Proportional to 417,893.10, 626,606.37 and 137,386.86

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Solution

The fourth proportional to 417,893.10, 626,606.37 and 137,386.86 is: 206,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,893.10 : 626,606.37 = 137,386.86 : x
  2. Step 2: Convert to fraction form
    417,893.10/626,606.37 = 137,386.86/x
  3. Step 3: Cross multiply
    417,893.10x = 626,606.37 × 137,386.86
  4. Step 4: Simplify right side
    417,893.10x = 86,087,481,630.30
  5. Step 5: Solve for x
    x = 86,087,481,630.30/417,893.10
  6. Step 6: Final answer
    x = 206,003.60

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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.