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Finding the Fourth Proportional to 410,831.80, 616,830.90 and 253,367.80

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Solution

The fourth proportional to 410,831.80, 616,830.90 and 253,367.80 is: 380,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,831.80 : 616,830.90 = 253,367.80 : x
  2. Step 2: Convert to fraction form
    410,831.80/616,830.90 = 253,367.80/x
  3. Step 3: Cross multiply
    410,831.80x = 616,830.90 × 253,367.80
  4. Step 4: Simplify right side
    410,831.80x = 156,285,088,105.02
  5. Step 5: Solve for x
    x = 156,285,088,105.02/410,831.80
  6. Step 6: Final answer
    x = 380,411.37

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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.