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Finding the Fourth Proportional to 384,630.75, 530,789.13 and 212,543.91

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Solution

The fourth proportional to 384,630.75, 530,789.13 and 212,543.91 is: 293,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,630.75 : 530,789.13 = 212,543.91 : x
  2. Step 2: Convert to fraction form
    384,630.75/530,789.13 = 212,543.91/x
  3. Step 3: Cross multiply
    384,630.75x = 530,789.13 × 212,543.91
  4. Step 4: Simplify right side
    384,630.75x = 112,815,997,075.70
  5. Step 5: Solve for x
    x = 112,815,997,075.70/384,630.75
  6. Step 6: Final answer
    x = 293,309.87

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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.