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Finding the Fourth Proportional to 553,309.20, 829,963.80 and 340,732.80

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Solution

The fourth proportional to 553,309.20, 829,963.80 and 340,732.80 is: 511,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,309.20 : 829,963.80 = 340,732.80 : x
  2. Step 2: Convert to fraction form
    553,309.20/829,963.80 = 340,732.80/x
  3. Step 3: Cross multiply
    553,309.20x = 829,963.80 × 340,732.80
  4. Step 4: Simplify right side
    553,309.20x = 282,795,889,472.64
  5. Step 5: Solve for x
    x = 282,795,889,472.64/553,309.20
  6. Step 6: Final answer
    x = 511,099.20

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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.