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Finding the Fourth Proportional to 513,226.98, 708,222.42 and 283,770.45

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Solution

The fourth proportional to 513,226.98, 708,222.42 and 283,770.45 is: 391,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,226.98 : 708,222.42 = 283,770.45 : x
  2. Step 2: Convert to fraction form
    513,226.98/708,222.42 = 283,770.45/x
  3. Step 3: Cross multiply
    513,226.98x = 708,222.42 × 283,770.45
  4. Step 4: Simplify right side
    513,226.98x = 200,972,594,823.49
  5. Step 5: Solve for x
    x = 200,972,594,823.49/513,226.98
  6. Step 6: Final answer
    x = 391,586.18

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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.