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Finding the Fourth Proportional to 384,713.71, 530,932.41 and 212,627.98

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Solution

The fourth proportional to 384,713.71, 530,932.41 and 212,627.98 is: 293,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,713.71 : 530,932.41 = 212,627.98 : x
  2. Step 2: Convert to fraction form
    384,713.71/530,932.41 = 212,627.98/x
  3. Step 3: Cross multiply
    384,713.71x = 530,932.41 × 212,627.98
  4. Step 4: Simplify right side
    384,713.71x = 112,891,084,130.02
  5. Step 5: Solve for x
    x = 112,891,084,130.02/384,713.71
  6. Step 6: Final answer
    x = 293,441.80

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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.