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Finding the Fourth Proportional to 430,530.42, 594,214.22 and 285,079.80

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Solution

The fourth proportional to 430,530.42, 594,214.22 and 285,079.80 is: 393,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,530.42 : 594,214.22 = 285,079.80 : x
  2. Step 2: Convert to fraction form
    430,530.42/594,214.22 = 285,079.80/x
  3. Step 3: Cross multiply
    430,530.42x = 594,214.22 × 285,079.80
  4. Step 4: Simplify right side
    430,530.42x = 169,398,469,569.36
  5. Step 5: Solve for x
    x = 169,398,469,569.36/430,530.42
  6. Step 6: Final answer
    x = 393,464.58

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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.