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Finding the Fourth Proportional to 650,139.66, 974,858.83 and 294,959.90

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Solution

The fourth proportional to 650,139.66, 974,858.83 and 294,959.90 is: 442,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,139.66 : 974,858.83 = 294,959.90 : x
  2. Step 2: Convert to fraction form
    650,139.66/974,858.83 = 294,959.90/x
  3. Step 3: Cross multiply
    650,139.66x = 974,858.83 × 294,959.90
  4. Step 4: Simplify right side
    650,139.66x = 287,544,263,010.92
  5. Step 5: Solve for x
    x = 287,544,263,010.92/650,139.66
  6. Step 6: Final answer
    x = 442,280.76

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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.