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Finding the Fourth Proportional to 438,435.86, 657,705.63 and 138,930.26

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Solution

The fourth proportional to 438,435.86, 657,705.63 and 138,930.26 is: 208,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,435.86 : 657,705.63 = 138,930.26 : x
  2. Step 2: Convert to fraction form
    438,435.86/657,705.63 = 138,930.26/x
  3. Step 3: Cross multiply
    438,435.86x = 657,705.63 × 138,930.26
  4. Step 4: Simplify right side
    438,435.86x = 91,375,214,179.36
  5. Step 5: Solve for x
    x = 91,375,214,179.36/438,435.86
  6. Step 6: Final answer
    x = 208,411.82

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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.