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Finding the Fourth Proportional to 1,329,799.16, 1,994,978.96 and 431,170.82

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Solution

The fourth proportional to 1,329,799.16, 1,994,978.96 and 431,170.82 is: 646,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,799.16 : 1,994,978.96 = 431,170.82 : x
  2. Step 2: Convert to fraction form
    1,329,799.16/1,994,978.96 = 431,170.82/x
  3. Step 3: Cross multiply
    1,329,799.16x = 1,994,978.96 × 431,170.82
  4. Step 4: Simplify right side
    1,329,799.16x = 860,176,703,013.13
  5. Step 5: Solve for x
    x = 860,176,703,013.13/1,329,799.16
  6. Step 6: Final answer
    x = 646,847.08

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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.