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Finding the Fourth Proportional to 238,405.16, 328,751.63 and 165,890.21

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Solution

The fourth proportional to 238,405.16, 328,751.63 and 165,890.21 is: 228,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,405.16 : 328,751.63 = 165,890.21 : x
  2. Step 2: Convert to fraction form
    238,405.16/328,751.63 = 165,890.21/x
  3. Step 3: Cross multiply
    238,405.16x = 328,751.63 × 165,890.21
  4. Step 4: Simplify right side
    238,405.16x = 54,536,674,465.33
  5. Step 5: Solve for x
    x = 54,536,674,465.33/238,405.16
  6. Step 6: Final answer
    x = 228,756.27

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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.