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Finding the Fourth Proportional to 401,385.81, 553,458.42 and 255,997.14

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Solution

The fourth proportional to 401,385.81, 553,458.42 and 255,997.14 is: 352,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,385.81 : 553,458.42 = 255,997.14 : x
  2. Step 2: Convert to fraction form
    401,385.81/553,458.42 = 255,997.14/x
  3. Step 3: Cross multiply
    401,385.81x = 553,458.42 × 255,997.14
  4. Step 4: Simplify right side
    401,385.81x = 141,683,772,628.92
  5. Step 5: Solve for x
    x = 141,683,772,628.92/401,385.81
  6. Step 6: Final answer
    x = 352,986.50

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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.