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Finding the Fourth Proportional to 384,759.90, 530,959.40 and 210,322.35

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Solution

The fourth proportional to 384,759.90, 530,959.40 and 210,322.35 is: 290,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,759.90 : 530,959.40 = 210,322.35 : x
  2. Step 2: Convert to fraction form
    384,759.90/530,959.40 = 210,322.35/x
  3. Step 3: Cross multiply
    384,759.90x = 530,959.40 × 210,322.35
  4. Step 4: Simplify right side
    384,759.90x = 111,672,627,710.98
  5. Step 5: Solve for x
    x = 111,672,627,710.98/384,759.90
  6. Step 6: Final answer
    x = 290,239.78

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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.