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Finding the Fourth Proportional to 521,809.40, 719,778.69 and 344,999.21

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Solution

The fourth proportional to 521,809.40, 719,778.69 and 344,999.21 is: 475,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,809.40 : 719,778.69 = 344,999.21 : x
  2. Step 2: Convert to fraction form
    521,809.40/719,778.69 = 344,999.21/x
  3. Step 3: Cross multiply
    521,809.40x = 719,778.69 × 344,999.21
  4. Step 4: Simplify right side
    521,809.40x = 248,323,079,424.84
  5. Step 5: Solve for x
    x = 248,323,079,424.84/521,809.40
  6. Step 6: Final answer
    x = 475,888.47

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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.