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Finding the Fourth Proportional to 401,013.72, 553,392.30 and 219,723.96

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Solution

The fourth proportional to 401,013.72, 553,392.30 and 219,723.96 is: 303,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,013.72 : 553,392.30 = 219,723.96 : x
  2. Step 2: Convert to fraction form
    401,013.72/553,392.30 = 219,723.96/x
  3. Step 3: Cross multiply
    401,013.72x = 553,392.30 × 219,723.96
  4. Step 4: Simplify right side
    401,013.72x = 121,593,547,589.51
  5. Step 5: Solve for x
    x = 121,593,547,589.51/401,013.72
  6. Step 6: Final answer
    x = 303,215.43

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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.