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Finding the Fourth Proportional to 547,155, 820,736.15 and 173,178

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Solution

The fourth proportional to 547,155, 820,736.15 and 173,178 is: 259,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,155 : 820,736.15 = 173,178 : x
  2. Step 2: Convert to fraction form
    547,155/820,736.15 = 173,178/x
  3. Step 3: Cross multiply
    547,155x = 820,736.15 × 173,178
  4. Step 4: Simplify right side
    547,155x = 142,133,444,118.81
  5. Step 5: Solve for x
    x = 142,133,444,118.81/547,155
  6. Step 6: Final answer
    x = 259,768.15

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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.