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Finding the Fourth Proportional to 277,303.50, 382,678.97 and 149,979.06

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Solution

The fourth proportional to 277,303.50, 382,678.97 and 149,979.06 is: 206,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,303.50 : 382,678.97 = 149,979.06 : x
  2. Step 2: Convert to fraction form
    277,303.50/382,678.97 = 149,979.06/x
  3. Step 3: Cross multiply
    277,303.50x = 382,678.97 × 149,979.06
  4. Step 4: Simplify right side
    277,303.50x = 57,393,831,452.47
  5. Step 5: Solve for x
    x = 57,393,831,452.47/277,303.50
  6. Step 6: Final answer
    x = 206,971.18

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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.