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Finding the Fourth Proportional to 719,431.50, 992,831.31 and 397,140.78

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Solution

The fourth proportional to 719,431.50, 992,831.31 and 397,140.78 is: 548,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,431.50 : 992,831.31 = 397,140.78 : x
  2. Step 2: Convert to fraction form
    719,431.50/992,831.31 = 397,140.78/x
  3. Step 3: Cross multiply
    719,431.50x = 992,831.31 × 397,140.78
  4. Step 4: Simplify right side
    719,431.50x = 394,293,800,861.82
  5. Step 5: Solve for x
    x = 394,293,800,861.82/719,431.50
  6. Step 6: Final answer
    x = 548,063.02

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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.