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Finding the Fourth Proportional to 298,699.79, 447,016.32 and 286,299.50

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Solution

The fourth proportional to 298,699.79, 447,016.32 and 286,299.50 is: 428,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,699.79 : 447,016.32 = 286,299.50 : x
  2. Step 2: Convert to fraction form
    298,699.79/447,016.32 = 286,299.50/x
  3. Step 3: Cross multiply
    298,699.79x = 447,016.32 × 286,299.50
  4. Step 4: Simplify right side
    298,699.79x = 127,980,546,672.76
  5. Step 5: Solve for x
    x = 127,980,546,672.76/298,699.79
  6. Step 6: Final answer
    x = 428,458.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.