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Finding the Fourth Proportional to 338,719.64, 467,047.74 and 277,270.40

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Solution

The fourth proportional to 338,719.64, 467,047.74 and 277,270.40 is: 382,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,719.64 : 467,047.74 = 277,270.40 : x
  2. Step 2: Convert to fraction form
    338,719.64/467,047.74 = 277,270.40/x
  3. Step 3: Cross multiply
    338,719.64x = 467,047.74 × 277,270.40
  4. Step 4: Simplify right side
    338,719.64x = 129,498,513,688.90
  5. Step 5: Solve for x
    x = 129,498,513,688.90/338,719.64
  6. Step 6: Final answer
    x = 382,317.70

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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.