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Finding the Fourth Proportional to 309,117.72, 427,521.60 and 277,275

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Solution

The fourth proportional to 309,117.72, 427,521.60 and 277,275 is: 383,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,117.72 : 427,521.60 = 277,275 : x
  2. Step 2: Convert to fraction form
    309,117.72/427,521.60 = 277,275/x
  3. Step 3: Cross multiply
    309,117.72x = 427,521.60 × 277,275
  4. Step 4: Simplify right side
    309,117.72x = 118,541,051,640
  5. Step 5: Solve for x
    x = 118,541,051,640/309,117.72
  6. Step 6: Final answer
    x = 383,481.90

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1.5x scale

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.