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Finding the Fourth Proportional to 384,715.50, 530,934.87 and 212,629.76

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Solution

The fourth proportional to 384,715.50, 530,934.87 and 212,629.76 is: 293,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,715.50 : 530,934.87 = 212,629.76 : x
  2. Step 2: Convert to fraction form
    384,715.50/530,934.87 = 212,629.76/x
  3. Step 3: Cross multiply
    384,715.50x = 530,934.87 × 212,629.76
  4. Step 4: Simplify right side
    384,715.50x = 112,892,553,983.73
  5. Step 5: Solve for x
    x = 112,892,553,983.73/384,715.50
  6. Step 6: Final answer
    x = 293,444.26

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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.