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Finding the Fourth Proportional to 508,140.20, 761,724.30 and 188,206.40

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Solution

The fourth proportional to 508,140.20, 761,724.30 and 188,206.40 is: 282,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,140.20 : 761,724.30 = 188,206.40 : x
  2. Step 2: Convert to fraction form
    508,140.20/761,724.30 = 188,206.40/x
  3. Step 3: Cross multiply
    508,140.20x = 761,724.30 × 188,206.40
  4. Step 4: Simplify right side
    508,140.20x = 143,361,388,295.52
  5. Step 5: Solve for x
    x = 143,361,388,295.52/508,140.20
  6. Step 6: Final answer
    x = 282,129.59

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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.