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Finding the Fourth Proportional to 238,290.45, 328,914.62 and 153,407.50

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Solution

The fourth proportional to 238,290.45, 328,914.62 and 153,407.50 is: 211,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,290.45 : 328,914.62 = 153,407.50 : x
  2. Step 2: Convert to fraction form
    238,290.45/328,914.62 = 153,407.50/x
  3. Step 3: Cross multiply
    238,290.45x = 328,914.62 × 153,407.50
  4. Step 4: Simplify right side
    238,290.45x = 50,457,969,567.65
  5. Step 5: Solve for x
    x = 50,457,969,567.65/238,290.45
  6. Step 6: Final answer
    x = 211,749.86

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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.