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Finding the Fourth Proportional to 310,270.70, 428,224.39 and 258,505.76

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Solution

The fourth proportional to 310,270.70, 428,224.39 and 258,505.76 is: 356,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,270.70 : 428,224.39 = 258,505.76 : x
  2. Step 2: Convert to fraction form
    310,270.70/428,224.39 = 258,505.76/x
  3. Step 3: Cross multiply
    310,270.70x = 428,224.39 × 258,505.76
  4. Step 4: Simplify right side
    310,270.70x = 110,698,471,387.49
  5. Step 5: Solve for x
    x = 110,698,471,387.49/310,270.70
  6. Step 6: Final answer
    x = 356,780.29

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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.