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Finding the Fourth Proportional to 255,429.72, 382,750.68 and 161,738.64

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Solution

The fourth proportional to 255,429.72, 382,750.68 and 161,738.64 is: 242,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,429.72 : 382,750.68 = 161,738.64 : x
  2. Step 2: Convert to fraction form
    255,429.72/382,750.68 = 161,738.64/x
  3. Step 3: Cross multiply
    255,429.72x = 382,750.68 × 161,738.64
  4. Step 4: Simplify right side
    255,429.72x = 61,905,574,442.28
  5. Step 5: Solve for x
    x = 61,905,574,442.28/255,429.72
  6. Step 6: Final answer
    x = 242,358.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.