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Finding the Fourth Proportional to 277,070.72, 382,357 and 149,746

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Solution

The fourth proportional to 277,070.72, 382,357 and 149,746 is: 206,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,070.72 : 382,357 = 149,746 : x
  2. Step 2: Convert to fraction form
    277,070.72/382,357 = 149,746/x
  3. Step 3: Cross multiply
    277,070.72x = 382,357 × 149,746
  4. Step 4: Simplify right side
    277,070.72x = 57,256,431,322
  5. Step 5: Solve for x
    x = 57,256,431,322/277,070.72
  6. Step 6: Final answer
    x = 206,649.16

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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.