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Finding the Fourth Proportional to 540,386.96, 809,879.36 and 220,166.40

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Solution

The fourth proportional to 540,386.96, 809,879.36 and 220,166.40 is: 329,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,386.96 : 809,879.36 = 220,166.40 : x
  2. Step 2: Convert to fraction form
    540,386.96/809,879.36 = 220,166.40/x
  3. Step 3: Cross multiply
    540,386.96x = 809,879.36 × 220,166.40
  4. Step 4: Simplify right side
    540,386.96x = 178,308,223,125.50
  5. Step 5: Solve for x
    x = 178,308,223,125.50/540,386.96
  6. Step 6: Final answer
    x = 329,963.96

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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.