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Finding the Fourth Proportional to 307,753.06, 424,697.61 and 171,779.14

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Solution

The fourth proportional to 307,753.06, 424,697.61 and 171,779.14 is: 237,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,753.06 : 424,697.61 = 171,779.14 : x
  2. Step 2: Convert to fraction form
    307,753.06/424,697.61 = 171,779.14/x
  3. Step 3: Cross multiply
    307,753.06x = 424,697.61 × 171,779.14
  4. Step 4: Simplify right side
    307,753.06x = 72,954,190,205.86
  5. Step 5: Solve for x
    x = 72,954,190,205.86/307,753.06
  6. Step 6: Final answer
    x = 237,054.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.