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Finding the Fourth Proportional to 478,228.86, 659,234.70 and 393,198.30

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Solution

The fourth proportional to 478,228.86, 659,234.70 and 393,198.30 is: 542,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,228.86 : 659,234.70 = 393,198.30 : x
  2. Step 2: Convert to fraction form
    478,228.86/659,234.70 = 393,198.30/x
  3. Step 3: Cross multiply
    478,228.86x = 659,234.70 × 393,198.30
  4. Step 4: Simplify right side
    478,228.86x = 259,209,963,341.01
  5. Step 5: Solve for x
    x = 259,209,963,341.01/478,228.86
  6. Step 6: Final answer
    x = 542,020.75

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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.