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Finding the Fourth Proportional to 671,841, 1,007,780.94 and 173,205

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Solution

The fourth proportional to 671,841, 1,007,780.94 and 173,205 is: 259,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,841 : 1,007,780.94 = 173,205 : x
  2. Step 2: Convert to fraction form
    671,841/1,007,780.94 = 173,205/x
  3. Step 3: Cross multiply
    671,841x = 1,007,780.94 × 173,205
  4. Step 4: Simplify right side
    671,841x = 174,552,697,712.70
  5. Step 5: Solve for x
    x = 174,552,697,712.70/671,841
  6. Step 6: Final answer
    x = 259,812.51

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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.