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Finding the Fourth Proportional to 471,764.34, 707,342.76 and 343,727.64

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Solution

The fourth proportional to 471,764.34, 707,342.76 and 343,727.64 is: 515,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,764.34 : 707,342.76 = 343,727.64 : x
  2. Step 2: Convert to fraction form
    471,764.34/707,342.76 = 343,727.64/x
  3. Step 3: Cross multiply
    471,764.34x = 707,342.76 × 343,727.64
  4. Step 4: Simplify right side
    471,764.34x = 243,133,257,565.89
  5. Step 5: Solve for x
    x = 243,133,257,565.89/471,764.34
  6. Step 6: Final answer
    x = 515,370.15

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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.