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Finding the Fourth Proportional to 384,406.83, 530,435.93 and 212,314.57

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Solution

The fourth proportional to 384,406.83, 530,435.93 and 212,314.57 is: 292,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,406.83 : 530,435.93 = 212,314.57 : x
  2. Step 2: Convert to fraction form
    384,406.83/530,435.93 = 212,314.57/x
  3. Step 3: Cross multiply
    384,406.83x = 530,435.93 × 212,314.57
  4. Step 4: Simplify right side
    384,406.83x = 112,619,274,002.84
  5. Step 5: Solve for x
    x = 112,619,274,002.84/384,406.83
  6. Step 6: Final answer
    x = 292,968.97

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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.