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Finding the Fourth Proportional to 401,394.35, 553,837.50 and 231,530.06

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Solution

The fourth proportional to 401,394.35, 553,837.50 and 231,530.06 is: 319,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,394.35 : 553,837.50 = 231,530.06 : x
  2. Step 2: Convert to fraction form
    401,394.35/553,837.50 = 231,530.06/x
  3. Step 3: Cross multiply
    401,394.35x = 553,837.50 × 231,530.06
  4. Step 4: Simplify right side
    401,394.35x = 128,230,030,989.84
  5. Step 5: Solve for x
    x = 128,230,030,989.84/401,394.35
  6. Step 6: Final answer
    x = 319,461.47

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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.