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Finding the Fourth Proportional to 719,129.70, 992,568.84 and 413,383.47

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Solution

The fourth proportional to 719,129.70, 992,568.84 and 413,383.47 is: 570,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,129.70 : 992,568.84 = 413,383.47 : x
  2. Step 2: Convert to fraction form
    719,129.70/992,568.84 = 413,383.47/x
  3. Step 3: Cross multiply
    719,129.70x = 992,568.84 × 413,383.47
  4. Step 4: Simplify right side
    719,129.70x = 410,311,551,293.08
  5. Step 5: Solve for x
    x = 410,311,551,293.08/719,129.70
  6. Step 6: Final answer
    x = 570,566.83

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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.