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Finding the Fourth Proportional to 482,900.70, 724,811.85 and 412,859.10

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Solution

The fourth proportional to 482,900.70, 724,811.85 and 412,859.10 is: 619,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,900.70 : 724,811.85 = 412,859.10 : x
  2. Step 2: Convert to fraction form
    482,900.70/724,811.85 = 412,859.10/x
  3. Step 3: Cross multiply
    482,900.70x = 724,811.85 × 412,859.10
  4. Step 4: Simplify right side
    482,900.70x = 299,245,168,060.34
  5. Step 5: Solve for x
    x = 299,245,168,060.34/482,900.70
  6. Step 6: Final answer
    x = 619,682.61

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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.