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Finding the Fourth Proportional to 650,715.78, 976,241.94 and 381,071.64

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Solution

The fourth proportional to 650,715.78, 976,241.94 and 381,071.64 is: 571,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,715.78 : 976,241.94 = 381,071.64 : x
  2. Step 2: Convert to fraction form
    650,715.78/976,241.94 = 381,071.64/x
  3. Step 3: Cross multiply
    650,715.78x = 976,241.94 × 381,071.64
  4. Step 4: Simplify right side
    650,715.78x = 372,018,117,112.58
  5. Step 5: Solve for x
    x = 372,018,117,112.58/650,715.78
  6. Step 6: Final answer
    x = 571,706.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.