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Finding the Fourth Proportional to 401,459.36, 553,974 and 231,748.16

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Solution

The fourth proportional to 401,459.36, 553,974 and 231,748.16 is: 319,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,459.36 : 553,974 = 231,748.16 : x
  2. Step 2: Convert to fraction form
    401,459.36/553,974 = 231,748.16/x
  3. Step 3: Cross multiply
    401,459.36x = 553,974 × 231,748.16
  4. Step 4: Simplify right side
    401,459.36x = 128,382,455,187.84
  5. Step 5: Solve for x
    x = 128,382,455,187.84/401,459.36
  6. Step 6: Final answer
    x = 319,789.42

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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.