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Finding the Fourth Proportional to 512,511.78, 763,505.94 and 489,482.94

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Solution

The fourth proportional to 512,511.78, 763,505.94 and 489,482.94 is: 729,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,511.78 : 763,505.94 = 489,482.94 : x
  2. Step 2: Convert to fraction form
    512,511.78/763,505.94 = 489,482.94/x
  3. Step 3: Cross multiply
    512,511.78x = 763,505.94 × 489,482.94
  4. Step 4: Simplify right side
    512,511.78x = 373,723,132,218.66
  5. Step 5: Solve for x
    x = 373,723,132,218.66/512,511.78
  6. Step 6: Final answer
    x = 729,199.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.