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Finding the Fourth Proportional to 310,920.12, 463,955.31 and 277,409.88

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Solution

The fourth proportional to 310,920.12, 463,955.31 and 277,409.88 is: 413,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,920.12 : 463,955.31 = 277,409.88 : x
  2. Step 2: Convert to fraction form
    310,920.12/463,955.31 = 277,409.88/x
  3. Step 3: Cross multiply
    310,920.12x = 463,955.31 × 277,409.88
  4. Step 4: Simplify right side
    310,920.12x = 128,705,786,872.46
  5. Step 5: Solve for x
    x = 128,705,786,872.46/310,920.12
  6. Step 6: Final answer
    x = 413,951.30

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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.