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Finding the Fourth Proportional to 384,113.79, 530,077.14 and 212,031.86

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Solution

The fourth proportional to 384,113.79, 530,077.14 and 212,031.86 is: 292,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,113.79 : 530,077.14 = 212,031.86 : x
  2. Step 2: Convert to fraction form
    384,113.79/530,077.14 = 212,031.86/x
  3. Step 3: Cross multiply
    384,113.79x = 530,077.14 × 212,031.86
  4. Step 4: Simplify right side
    384,113.79x = 112,393,239,287.30
  5. Step 5: Solve for x
    x = 112,393,239,287.30/384,113.79
  6. Step 6: Final answer
    x = 292,604.02

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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.