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Finding the Fourth Proportional to 384,337.81, 530,387.08 and 212,252.64

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Solution

The fourth proportional to 384,337.81, 530,387.08 and 212,252.64 is: 292,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,337.81 : 530,387.08 = 212,252.64 : x
  2. Step 2: Convert to fraction form
    384,337.81/530,387.08 = 212,252.64/x
  3. Step 3: Cross multiply
    384,337.81x = 530,387.08 × 212,252.64
  4. Step 4: Simplify right side
    384,337.81x = 112,576,057,951.89
  5. Step 5: Solve for x
    x = 112,576,057,951.89/384,337.81
  6. Step 6: Final answer
    x = 292,909.14

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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.