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Finding the Fourth Proportional to 809,731.40, 1,214,597.10 and 748,905.80

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Solution

The fourth proportional to 809,731.40, 1,214,597.10 and 748,905.80 is: 1,123,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,731.40 : 1,214,597.10 = 748,905.80 : x
  2. Step 2: Convert to fraction form
    809,731.40/1,214,597.10 = 748,905.80/x
  3. Step 3: Cross multiply
    809,731.40x = 1,214,597.10 × 748,905.80
  4. Step 4: Simplify right side
    809,731.40x = 909,618,812,853.18
  5. Step 5: Solve for x
    x = 909,618,812,853.18/809,731.40
  6. Step 6: Final answer
    x = 1,123,358.70

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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.