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Finding the Fourth Proportional to 397,478.80, 596,218.20 and 255,761.20

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Solution

The fourth proportional to 397,478.80, 596,218.20 and 255,761.20 is: 383,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,478.80 : 596,218.20 = 255,761.20 : x
  2. Step 2: Convert to fraction form
    397,478.80/596,218.20 = 255,761.20/x
  3. Step 3: Cross multiply
    397,478.80x = 596,218.20 × 255,761.20
  4. Step 4: Simplify right side
    397,478.80x = 152,489,482,293.84
  5. Step 5: Solve for x
    x = 152,489,482,293.84/397,478.80
  6. Step 6: Final answer
    x = 383,641.80

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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.