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Finding the Fourth Proportional to 310,415.64, 428,376.47 and 187,910.84

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Solution

The fourth proportional to 310,415.64, 428,376.47 and 187,910.84 is: 259,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,415.64 : 428,376.47 = 187,910.84 : x
  2. Step 2: Convert to fraction form
    310,415.64/428,376.47 = 187,910.84/x
  3. Step 3: Cross multiply
    310,415.64x = 428,376.47 × 187,910.84
  4. Step 4: Simplify right side
    310,415.64x = 80,496,579,232.50
  5. Step 5: Solve for x
    x = 80,496,579,232.50/310,415.64
  6. Step 6: Final answer
    x = 259,318.70

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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.