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Finding the Fourth Proportional to 537,037.80, 806,179.10 and 288,205.80

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Solution

The fourth proportional to 537,037.80, 806,179.10 and 288,205.80 is: 432,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,037.80 : 806,179.10 = 288,205.80 : x
  2. Step 2: Convert to fraction form
    537,037.80/806,179.10 = 288,205.80/x
  3. Step 3: Cross multiply
    537,037.80x = 806,179.10 × 288,205.80
  4. Step 4: Simplify right side
    537,037.80x = 232,345,492,458.78
  5. Step 5: Solve for x
    x = 232,345,492,458.78/537,037.80
  6. Step 6: Final answer
    x = 432,642.72

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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.