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Finding the Fourth Proportional to 509,174, 763,761 and 176,750

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Solution

The fourth proportional to 509,174, 763,761 and 176,750 is: 265,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,174 : 763,761 = 176,750 : x
  2. Step 2: Convert to fraction form
    509,174/763,761 = 176,750/x
  3. Step 3: Cross multiply
    509,174x = 763,761 × 176,750
  4. Step 4: Simplify right side
    509,174x = 134,994,756,750
  5. Step 5: Solve for x
    x = 134,994,756,750/509,174
  6. Step 6: Final answer
    x = 265,125

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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.