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Finding the Fourth Proportional to 310,437.93, 467,731.31 and 280,486.98

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Solution

The fourth proportional to 310,437.93, 467,731.31 and 280,486.98 is: 422,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,437.93 : 467,731.31 = 280,486.98 : x
  2. Step 2: Convert to fraction form
    310,437.93/467,731.31 = 280,486.98/x
  3. Step 3: Cross multiply
    310,437.93x = 467,731.31 × 280,486.98
  4. Step 4: Simplify right side
    310,437.93x = 131,192,543,294.56
  5. Step 5: Solve for x
    x = 131,192,543,294.56/310,437.93
  6. Step 6: Final answer
    x = 422,604.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.