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Finding the Fourth Proportional to 384,668.16, 530,825.71 and 212,592.57

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Solution

The fourth proportional to 384,668.16, 530,825.71 and 212,592.57 is: 293,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,668.16 : 530,825.71 = 212,592.57 : x
  2. Step 2: Convert to fraction form
    384,668.16/530,825.71 = 212,592.57/x
  3. Step 3: Cross multiply
    384,668.16x = 530,825.71 × 212,592.57
  4. Step 4: Simplify right side
    384,668.16x = 112,849,601,910.98
  5. Step 5: Solve for x
    x = 112,849,601,910.98/384,668.16
  6. Step 6: Final answer
    x = 293,368.71

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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.