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Finding the Fourth Proportional to 259,416.45, 389,288.70 and 152,800.20

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Solution

The fourth proportional to 259,416.45, 389,288.70 and 152,800.20 is: 229,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416.45 : 389,288.70 = 152,800.20 : x
  2. Step 2: Convert to fraction form
    259,416.45/389,288.70 = 152,800.20/x
  3. Step 3: Cross multiply
    259,416.45x = 389,288.70 × 152,800.20
  4. Step 4: Simplify right side
    259,416.45x = 59,483,391,217.74
  5. Step 5: Solve for x
    x = 59,483,391,217.74/259,416.45
  6. Step 6: Final answer
    x = 229,296.91

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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.