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Finding the Fourth Proportional to 384,704.36, 530,875.50 and 212,613.43

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Solution

The fourth proportional to 384,704.36, 530,875.50 and 212,613.43 is: 293,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,704.36 : 530,875.50 = 212,613.43 : x
  2. Step 2: Convert to fraction form
    384,704.36/530,875.50 = 212,613.43/x
  3. Step 3: Cross multiply
    384,704.36x = 530,875.50 × 212,613.43
  4. Step 4: Simplify right side
    384,704.36x = 112,871,260,957.97
  5. Step 5: Solve for x
    x = 112,871,260,957.97/384,704.36
  6. Step 6: Final answer
    x = 293,397.41

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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.