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Finding the Fourth Proportional to 537,052.30, 806,200.85 and 288,220.30

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Solution

The fourth proportional to 537,052.30, 806,200.85 and 288,220.30 is: 432,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,052.30 : 806,200.85 = 288,220.30 : x
  2. Step 2: Convert to fraction form
    537,052.30/806,200.85 = 288,220.30/x
  3. Step 3: Cross multiply
    537,052.30x = 806,200.85 × 288,220.30
  4. Step 4: Simplify right side
    537,052.30x = 232,363,450,847.26
  5. Step 5: Solve for x
    x = 232,363,450,847.26/537,052.30
  6. Step 6: Final answer
    x = 432,664.47

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1.5x scale

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.