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Finding the Fourth Proportional to 275,437, 413,224.62 and 78,445

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Solution

The fourth proportional to 275,437, 413,224.62 and 78,445 is: 117,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,437 : 413,224.62 = 78,445 : x
  2. Step 2: Convert to fraction form
    275,437/413,224.62 = 78,445/x
  3. Step 3: Cross multiply
    275,437x = 413,224.62 × 78,445
  4. Step 4: Simplify right side
    275,437x = 32,415,405,315.90
  5. Step 5: Solve for x
    x = 32,415,405,315.90/275,437
  6. Step 6: Final answer
    x = 117,687.19

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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.