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Finding the Fourth Proportional to 312,172.58, 430,798.14 and 168,932.61

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Solution

The fourth proportional to 312,172.58, 430,798.14 and 168,932.61 is: 233,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,172.58 : 430,798.14 = 168,932.61 : x
  2. Step 2: Convert to fraction form
    312,172.58/430,798.14 = 168,932.61/x
  3. Step 3: Cross multiply
    312,172.58x = 430,798.14 × 168,932.61
  4. Step 4: Simplify right side
    312,172.58x = 72,775,854,173.35
  5. Step 5: Solve for x
    x = 72,775,854,173.35/312,172.58
  6. Step 6: Final answer
    x = 233,126.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.