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Finding the Fourth Proportional to 343,138.96, 514,777.14 and 118,507.60

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Solution

The fourth proportional to 343,138.96, 514,777.14 and 118,507.60 is: 177,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,138.96 : 514,777.14 = 118,507.60 : x
  2. Step 2: Convert to fraction form
    343,138.96/514,777.14 = 118,507.60/x
  3. Step 3: Cross multiply
    343,138.96x = 514,777.14 × 118,507.60
  4. Step 4: Simplify right side
    343,138.96x = 61,005,003,396.26
  5. Step 5: Solve for x
    x = 61,005,003,396.26/343,138.96
  6. Step 6: Final answer
    x = 177,785.13

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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.