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Finding the Fourth Proportional to 553,611.84, 763,999.56 and 338,748

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Solution

The fourth proportional to 553,611.84, 763,999.56 and 338,748 is: 467,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,611.84 : 763,999.56 = 338,748 : x
  2. Step 2: Convert to fraction form
    553,611.84/763,999.56 = 338,748/x
  3. Step 3: Cross multiply
    553,611.84x = 763,999.56 × 338,748
  4. Step 4: Simplify right side
    553,611.84x = 258,803,322,950.88
  5. Step 5: Solve for x
    x = 258,803,322,950.88/553,611.84
  6. Step 6: Final answer
    x = 467,481.55

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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.