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Finding the Fourth Proportional to 650,709.77, 976,232.93 and 381,065.63

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Solution

The fourth proportional to 650,709.77, 976,232.93 and 381,065.63 is: 571,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,709.77 : 976,232.93 = 381,065.63 : x
  2. Step 2: Convert to fraction form
    650,709.77/976,232.93 = 381,065.63/x
  3. Step 3: Cross multiply
    650,709.77x = 976,232.93 × 381,065.63
  4. Step 4: Simplify right side
    650,709.77x = 372,008,809,710.70
  5. Step 5: Solve for x
    x = 372,008,809,710.70/650,709.77
  6. Step 6: Final answer
    x = 571,696.98

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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.