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Finding the Fourth Proportional to 509,172, 763,758 and 176,748

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Solution

The fourth proportional to 509,172, 763,758 and 176,748 is: 265,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,172 : 763,758 = 176,748 : x
  2. Step 2: Convert to fraction form
    509,172/763,758 = 176,748/x
  3. Step 3: Cross multiply
    509,172x = 763,758 × 176,748
  4. Step 4: Simplify right side
    509,172x = 134,992,698,984
  5. Step 5: Solve for x
    x = 134,992,698,984/509,172
  6. Step 6: Final answer
    x = 265,122

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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.