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Finding the Fourth Proportional to 522,489.64, 783,956.36 and 285,555.52

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Solution

The fourth proportional to 522,489.64, 783,956.36 and 285,555.52 is: 428,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,489.64 : 783,956.36 = 285,555.52 : x
  2. Step 2: Convert to fraction form
    522,489.64/783,956.36 = 285,555.52/x
  3. Step 3: Cross multiply
    522,489.64x = 783,956.36 × 285,555.52
  4. Step 4: Simplify right side
    522,489.64x = 223,863,066,037.11
  5. Step 5: Solve for x
    x = 223,863,066,037.11/522,489.64
  6. Step 6: Final answer
    x = 428,454.55

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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.