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Finding the Fourth Proportional to 428,477.39, 591,487.14 and 299,920.76

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Solution

The fourth proportional to 428,477.39, 591,487.14 and 299,920.76 is: 414,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,477.39 : 591,487.14 = 299,920.76 : x
  2. Step 2: Convert to fraction form
    428,477.39/591,487.14 = 299,920.76/x
  3. Step 3: Cross multiply
    428,477.39x = 591,487.14 × 299,920.76
  4. Step 4: Simplify right side
    428,477.39x = 177,399,269,601.59
  5. Step 5: Solve for x
    x = 177,399,269,601.59/428,477.39
  6. Step 6: Final answer
    x = 414,022.48

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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.