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Finding the Fourth Proportional to 412,831.40, 618,663.90 and 305,376.80

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Solution

The fourth proportional to 412,831.40, 618,663.90 and 305,376.80 is: 457,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,831.40 : 618,663.90 = 305,376.80 : x
  2. Step 2: Convert to fraction form
    412,831.40/618,663.90 = 305,376.80/x
  3. Step 3: Cross multiply
    412,831.40x = 618,663.90 × 305,376.80
  4. Step 4: Simplify right side
    412,831.40x = 188,925,602,057.52
  5. Step 5: Solve for x
    x = 188,925,602,057.52/412,831.40
  6. Step 6: Final answer
    x = 457,633.80

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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.