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Finding the Fourth Proportional to 401,455.36, 553,968.48 and 231,744.16

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Solution

The fourth proportional to 401,455.36, 553,968.48 and 231,744.16 is: 319,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,455.36 : 553,968.48 = 231,744.16 : x
  2. Step 2: Convert to fraction form
    401,455.36/553,968.48 = 231,744.16/x
  3. Step 3: Cross multiply
    401,455.36x = 553,968.48 × 231,744.16
  4. Step 4: Simplify right side
    401,455.36x = 128,378,960,064.08
  5. Step 5: Solve for x
    x = 128,378,960,064.08/401,455.36
  6. Step 6: Final answer
    x = 319,783.90

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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.