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Finding the Fourth Proportional to 312,308.53, 430,985.90 and 169,068.56

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Solution

The fourth proportional to 312,308.53, 430,985.90 and 169,068.56 is: 233,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,308.53 : 430,985.90 = 169,068.56 : x
  2. Step 2: Convert to fraction form
    312,308.53/430,985.90 = 169,068.56/x
  3. Step 3: Cross multiply
    312,308.53x = 430,985.90 × 169,068.56
  4. Step 4: Simplify right side
    312,308.53x = 72,866,166,993.44
  5. Step 5: Solve for x
    x = 72,866,166,993.44/312,308.53
  6. Step 6: Final answer
    x = 233,314.69

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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.