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Finding the Fourth Proportional to 513,574.40, 768,747 and 352,708.40

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Solution

The fourth proportional to 513,574.40, 768,747 and 352,708.40 is: 527,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,574.40 : 768,747 = 352,708.40 : x
  2. Step 2: Convert to fraction form
    513,574.40/768,747 = 352,708.40/x
  3. Step 3: Cross multiply
    513,574.40x = 768,747 × 352,708.40
  4. Step 4: Simplify right side
    513,574.40x = 271,143,524,374.80
  5. Step 5: Solve for x
    x = 271,143,524,374.80/513,574.40
  6. Step 6: Final answer
    x = 527,953.74

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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.