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Finding the Fourth Proportional to 384,722.51, 530,944.54 and 212,636.77

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Solution

The fourth proportional to 384,722.51, 530,944.54 and 212,636.77 is: 293,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,722.51 : 530,944.54 = 212,636.77 : x
  2. Step 2: Convert to fraction form
    384,722.51/530,944.54 = 212,636.77/x
  3. Step 3: Cross multiply
    384,722.51x = 530,944.54 × 212,636.77
  4. Step 4: Simplify right side
    384,722.51x = 112,898,330,175.78
  5. Step 5: Solve for x
    x = 112,898,330,175.78/384,722.51
  6. Step 6: Final answer
    x = 293,453.93

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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.