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Finding the Fourth Proportional to 310,499.84, 427,507.20 and 282,120.80

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Solution

The fourth proportional to 310,499.84, 427,507.20 and 282,120.80 is: 388,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,499.84 : 427,507.20 = 282,120.80 : x
  2. Step 2: Convert to fraction form
    310,499.84/427,507.20 = 282,120.80/x
  3. Step 3: Cross multiply
    310,499.84x = 427,507.20 × 282,120.80
  4. Step 4: Simplify right side
    310,499.84x = 120,608,673,269.76
  5. Step 5: Solve for x
    x = 120,608,673,269.76/310,499.84
  6. Step 6: Final answer
    x = 388,433.93

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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.