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Finding the Fourth Proportional to 1,309,733.90, 1,964,927.81 and 456,817.80

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Solution

The fourth proportional to 1,309,733.90, 1,964,927.81 and 456,817.80 is: 685,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,733.90 : 1,964,927.81 = 456,817.80 : x
  2. Step 2: Convert to fraction form
    1,309,733.90/1,964,927.81 = 456,817.80/x
  3. Step 3: Cross multiply
    1,309,733.90x = 1,964,927.81 × 456,817.80
  4. Step 4: Simplify right side
    1,309,733.90x = 897,614,006,120.48
  5. Step 5: Solve for x
    x = 897,614,006,120.48/1,309,733.90
  6. Step 6: Final answer
    x = 685,340.75

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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.