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Finding the Fourth Proportional to 540,103.16, 809,653.90 and 185,032.80

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Solution

The fourth proportional to 540,103.16, 809,653.90 and 185,032.80 is: 277,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,103.16 : 809,653.90 = 185,032.80 : x
  2. Step 2: Convert to fraction form
    540,103.16/809,653.90 = 185,032.80/x
  3. Step 3: Cross multiply
    540,103.16x = 809,653.90 × 185,032.80
  4. Step 4: Simplify right side
    540,103.16x = 149,812,528,147.92
  5. Step 5: Solve for x
    x = 149,812,528,147.92/540,103.16
  6. Step 6: Final answer
    x = 277,377.62

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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.