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Finding the Fourth Proportional to 412,823.80, 619,818.90 and 255,359.80

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Solution

The fourth proportional to 412,823.80, 619,818.90 and 255,359.80 is: 383,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,823.80 : 619,818.90 = 255,359.80 : x
  2. Step 2: Convert to fraction form
    412,823.80/619,818.90 = 255,359.80/x
  3. Step 3: Cross multiply
    412,823.80x = 619,818.90 × 255,359.80
  4. Step 4: Simplify right side
    412,823.80x = 158,276,830,340.22
  5. Step 5: Solve for x
    x = 158,276,830,340.22/412,823.80
  6. Step 6: Final answer
    x = 383,400.45

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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.