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Finding the Fourth Proportional to 510,955.54, 705,084.90 and 306,885.20

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Solution

The fourth proportional to 510,955.54, 705,084.90 and 306,885.20 is: 423,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,955.54 : 705,084.90 = 306,885.20 : x
  2. Step 2: Convert to fraction form
    510,955.54/705,084.90 = 306,885.20/x
  3. Step 3: Cross multiply
    510,955.54x = 705,084.90 × 306,885.20
  4. Step 4: Simplify right side
    510,955.54x = 216,380,120,553.48
  5. Step 5: Solve for x
    x = 216,380,120,553.48/510,955.54
  6. Step 6: Final answer
    x = 423,481.31

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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.