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Finding the Fourth Proportional to 537,052.80, 806,201.60 and 288,220.80

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Solution

The fourth proportional to 537,052.80, 806,201.60 and 288,220.80 is: 432,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,052.80 : 806,201.60 = 288,220.80 : x
  2. Step 2: Convert to fraction form
    537,052.80/806,201.60 = 288,220.80/x
  3. Step 3: Cross multiply
    537,052.80x = 806,201.60 × 288,220.80
  4. Step 4: Simplify right side
    537,052.80x = 232,364,070,113.28
  5. Step 5: Solve for x
    x = 232,364,070,113.28/537,052.80
  6. Step 6: Final answer
    x = 432,665.22

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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.