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Finding the Fourth Proportional to 713,359.74, 1,069,728.54 and 269,816.70

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Solution

The fourth proportional to 713,359.74, 1,069,728.54 and 269,816.70 is: 404,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,359.74 : 1,069,728.54 = 269,816.70 : x
  2. Step 2: Convert to fraction form
    713,359.74/1,069,728.54 = 269,816.70/x
  3. Step 3: Cross multiply
    713,359.74x = 1,069,728.54 × 269,816.70
  4. Step 4: Simplify right side
    713,359.74x = 288,630,624,558.62
  5. Step 5: Solve for x
    x = 288,630,624,558.62/713,359.74
  6. Step 6: Final answer
    x = 404,607.39

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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.