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Finding the Fourth Proportional to 433,619.68, 650,429.52 and 285,841.12

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Solution

The fourth proportional to 433,619.68, 650,429.52 and 285,841.12 is: 428,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,619.68 : 650,429.52 = 285,841.12 : x
  2. Step 2: Convert to fraction form
    433,619.68/650,429.52 = 285,841.12/x
  3. Step 3: Cross multiply
    433,619.68x = 650,429.52 × 285,841.12
  4. Step 4: Simplify right side
    433,619.68x = 185,919,502,477.86
  5. Step 5: Solve for x
    x = 185,919,502,477.86/433,619.68
  6. Step 6: Final answer
    x = 428,761.68

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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.