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Finding the Fourth Proportional to 537,044.80, 806,189.60 and 288,212.80

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Solution

The fourth proportional to 537,044.80, 806,189.60 and 288,212.80 is: 432,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,044.80 : 806,189.60 = 288,212.80 : x
  2. Step 2: Convert to fraction form
    537,044.80/806,189.60 = 288,212.80/x
  3. Step 3: Cross multiply
    537,044.80x = 806,189.60 × 288,212.80
  4. Step 4: Simplify right side
    537,044.80x = 232,354,161,946.88
  5. Step 5: Solve for x
    x = 232,354,161,946.88/537,044.80
  6. Step 6: Final answer
    x = 432,653.22

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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.