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Finding the Fourth Proportional to 340,206.57, 509,064.17 and 321,957.06

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Solution

The fourth proportional to 340,206.57, 509,064.17 and 321,957.06 is: 481,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,206.57 : 509,064.17 = 321,957.06 : x
  2. Step 2: Convert to fraction form
    340,206.57/509,064.17 = 321,957.06/x
  3. Step 3: Cross multiply
    340,206.57x = 509,064.17 × 321,957.06
  4. Step 4: Simplify right side
    340,206.57x = 163,896,801,914.76
  5. Step 5: Solve for x
    x = 163,896,801,914.76/340,206.57
  6. Step 6: Final answer
    x = 481,756.72

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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.