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Finding the Fourth Proportional to 470,234.20, 705,416.10 and 170,642.20

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Solution

The fourth proportional to 470,234.20, 705,416.10 and 170,642.20 is: 255,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,234.20 : 705,416.10 = 170,642.20 : x
  2. Step 2: Convert to fraction form
    470,234.20/705,416.10 = 170,642.20/x
  3. Step 3: Cross multiply
    470,234.20x = 705,416.10 × 170,642.20
  4. Step 4: Simplify right side
    470,234.20x = 120,373,755,219.42
  5. Step 5: Solve for x
    x = 120,373,755,219.42/470,234.20
  6. Step 6: Final answer
    x = 255,986.82

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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.