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Finding the Fourth Proportional to 401,414.68, 553,947.69 and 231,645.16

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Solution

The fourth proportional to 401,414.68, 553,947.69 and 231,645.16 is: 319,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,414.68 : 553,947.69 = 231,645.16 : x
  2. Step 2: Convert to fraction form
    401,414.68/553,947.69 = 231,645.16/x
  3. Step 3: Cross multiply
    401,414.68x = 553,947.69 × 231,645.16
  4. Step 4: Simplify right side
    401,414.68x = 128,319,301,281.68
  5. Step 5: Solve for x
    x = 128,319,301,281.68/401,414.68
  6. Step 6: Final answer
    x = 319,667.68

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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.