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Finding the Fourth Proportional to 509,065.92, 763,560 and 172,134.72

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Solution

The fourth proportional to 509,065.92, 763,560 and 172,134.72 is: 258,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,065.92 : 763,560 = 172,134.72 : x
  2. Step 2: Convert to fraction form
    509,065.92/763,560 = 172,134.72/x
  3. Step 3: Cross multiply
    509,065.92x = 763,560 × 172,134.72
  4. Step 4: Simplify right side
    509,065.92x = 131,435,186,803.20
  5. Step 5: Solve for x
    x = 131,435,186,803.20/509,065.92
  6. Step 6: Final answer
    x = 258,188.93

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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.