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Finding the Fourth Proportional to 277,291.84, 382,662.76 and 149,967.40

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Solution

The fourth proportional to 277,291.84, 382,662.76 and 149,967.40 is: 206,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,291.84 : 382,662.76 = 149,967.40 : x
  2. Step 2: Convert to fraction form
    277,291.84/382,662.76 = 149,967.40/x
  3. Step 3: Cross multiply
    277,291.84x = 382,662.76 × 149,967.40
  4. Step 4: Simplify right side
    277,291.84x = 57,386,939,194.02
  5. Step 5: Solve for x
    x = 57,386,939,194.02/277,291.84
  6. Step 6: Final answer
    x = 206,955.02

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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.