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Finding the Fourth Proportional to 401,386.86, 553,908.87 and 231,617.34

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Solution

The fourth proportional to 401,386.86, 553,908.87 and 231,617.34 is: 319,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,386.86 : 553,908.87 = 231,617.34 : x
  2. Step 2: Convert to fraction form
    401,386.86/553,908.87 = 231,617.34/x
  3. Step 3: Cross multiply
    401,386.86x = 553,908.87 × 231,617.34
  4. Step 4: Simplify right side
    401,386.86x = 128,294,899,071.81
  5. Step 5: Solve for x
    x = 128,294,899,071.81/401,386.86
  6. Step 6: Final answer
    x = 319,629.05

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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.