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Finding the Fourth Proportional to 310,429.95, 467,719.25 and 280,478.98

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Solution

The fourth proportional to 310,429.95, 467,719.25 and 280,478.98 is: 422,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,429.95 : 467,719.25 = 280,478.98 : x
  2. Step 2: Convert to fraction form
    310,429.95/467,719.25 = 280,478.98/x
  3. Step 3: Cross multiply
    310,429.95x = 467,719.25 × 280,478.98
  4. Step 4: Simplify right side
    310,429.95x = 131,185,418,166.37
  5. Step 5: Solve for x
    x = 131,185,418,166.37/310,429.95
  6. Step 6: Final answer
    x = 422,592.66

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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.