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Finding the Fourth Proportional to 384,358.42, 530,406.50 and 212,266.35

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Solution

The fourth proportional to 384,358.42, 530,406.50 and 212,266.35 is: 292,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,358.42 : 530,406.50 = 212,266.35 : x
  2. Step 2: Convert to fraction form
    384,358.42/530,406.50 = 212,266.35/x
  3. Step 3: Cross multiply
    384,358.42x = 530,406.50 × 212,266.35
  4. Step 4: Simplify right side
    384,358.42x = 112,587,451,009.17
  5. Step 5: Solve for x
    x = 112,587,451,009.17/384,358.42
  6. Step 6: Final answer
    x = 292,923.08

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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.