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Finding the Fourth Proportional to 271,478.72, 405,013.75 and 256,782.08

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Solution

The fourth proportional to 271,478.72, 405,013.75 and 256,782.08 is: 383,088.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,478.72 : 405,013.75 = 256,782.08 : x
  2. Step 2: Convert to fraction form
    271,478.72/405,013.75 = 256,782.08/x
  3. Step 3: Cross multiply
    271,478.72x = 405,013.75 × 256,782.08
  4. Step 4: Simplify right side
    271,478.72x = 104,000,274,968.58
  5. Step 5: Solve for x
    x = 104,000,274,968.58/271,478.72
  6. Step 6: Final answer
    x = 383,088.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.