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Finding the Fourth Proportional to 312,308.65, 430,986.07 and 169,068.69

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Solution

The fourth proportional to 312,308.65, 430,986.07 and 169,068.69 is: 233,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,308.65 : 430,986.07 = 169,068.69 : x
  2. Step 2: Convert to fraction form
    312,308.65/430,986.07 = 169,068.69/x
  3. Step 3: Cross multiply
    312,308.65x = 430,986.07 × 169,068.69
  4. Step 4: Simplify right side
    312,308.65x = 72,866,250,263.15
  5. Step 5: Solve for x
    x = 72,866,250,263.15/312,308.65
  6. Step 6: Final answer
    x = 233,314.86

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