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Finding the Fourth Proportional to 307,215.77, 460,656.74 and 138,538.64

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Solution

The fourth proportional to 307,215.77, 460,656.74 and 138,538.64 is: 207,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,215.77 : 460,656.74 = 138,538.64 : x
  2. Step 2: Convert to fraction form
    307,215.77/460,656.74 = 138,538.64/x
  3. Step 3: Cross multiply
    307,215.77x = 460,656.74 × 138,538.64
  4. Step 4: Simplify right side
    307,215.77x = 63,818,759,764.42
  5. Step 5: Solve for x
    x = 63,818,759,764.42/307,215.77
  6. Step 6: Final answer
    x = 207,732.69

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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.