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Finding the Fourth Proportional to 430,358.43, 594,019.68 and 287,118.12

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Solution

The fourth proportional to 430,358.43, 594,019.68 and 287,118.12 is: 396,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,358.43 : 594,019.68 = 287,118.12 : x
  2. Step 2: Convert to fraction form
    430,358.43/594,019.68 = 287,118.12/x
  3. Step 3: Cross multiply
    430,358.43x = 594,019.68 × 287,118.12
  4. Step 4: Simplify right side
    430,358.43x = 170,553,813,764.60
  5. Step 5: Solve for x
    x = 170,553,813,764.60/430,358.43
  6. Step 6: Final answer
    x = 396,306.43

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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.