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Finding the Fourth Proportional to 401,031.98, 553,371.64 and 239,828.22

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Solution

The fourth proportional to 401,031.98, 553,371.64 and 239,828.22 is: 330,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,031.98 : 553,371.64 = 239,828.22 : x
  2. Step 2: Convert to fraction form
    401,031.98/553,371.64 = 239,828.22/x
  3. Step 3: Cross multiply
    401,031.98x = 553,371.64 × 239,828.22
  4. Step 4: Simplify right side
    401,031.98x = 132,714,135,419.68
  5. Step 5: Solve for x
    x = 132,714,135,419.68/401,031.98
  6. Step 6: Final answer
    x = 330,931.55

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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.