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Finding the Fourth Proportional to 374,477.56, 516,652.86 and 213,218.56

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Solution

The fourth proportional to 374,477.56, 516,652.86 and 213,218.56 is: 294,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,477.56 : 516,652.86 = 213,218.56 : x
  2. Step 2: Convert to fraction form
    374,477.56/516,652.86 = 213,218.56/x
  3. Step 3: Cross multiply
    374,477.56x = 516,652.86 × 213,218.56
  4. Step 4: Simplify right side
    374,477.56x = 110,159,978,829.08
  5. Step 5: Solve for x
    x = 110,159,978,829.08/374,477.56
  6. Step 6: Final answer
    x = 294,169.77

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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.