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Finding the Fourth Proportional to 654,696, 903,481.44 and 386,424

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Solution

The fourth proportional to 654,696, 903,481.44 and 386,424 is: 533,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,696 : 903,481.44 = 386,424 : x
  2. Step 2: Convert to fraction form
    654,696/903,481.44 = 386,424/x
  3. Step 3: Cross multiply
    654,696x = 903,481.44 × 386,424
  4. Step 4: Simplify right side
    654,696x = 349,126,911,970.56
  5. Step 5: Solve for x
    x = 349,126,911,970.56/654,696
  6. Step 6: Final answer
    x = 533,265.69

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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.