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Finding the Fourth Proportional to 509,259.76, 763,972.28 and 172,321.12

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Solution

The fourth proportional to 509,259.76, 763,972.28 and 172,321.12 is: 258,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,259.76 : 763,972.28 = 172,321.12 : x
  2. Step 2: Convert to fraction form
    509,259.76/763,972.28 = 172,321.12/x
  3. Step 3: Cross multiply
    509,259.76x = 763,972.28 × 172,321.12
  4. Step 4: Simplify right side
    509,259.76x = 131,648,558,938.55
  5. Step 5: Solve for x
    x = 131,648,558,938.55/509,259.76
  6. Step 6: Final answer
    x = 258,509.64

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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.