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Finding the Fourth Proportional to 655,778.42, 983,702.52 and 206,534.42

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Solution

The fourth proportional to 655,778.42, 983,702.52 and 206,534.42 is: 309,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,778.42 : 983,702.52 = 206,534.42 : x
  2. Step 2: Convert to fraction form
    655,778.42/983,702.52 = 206,534.42/x
  3. Step 3: Cross multiply
    655,778.42x = 983,702.52 × 206,534.42
  4. Step 4: Simplify right side
    655,778.42x = 203,168,429,420.74
  5. Step 5: Solve for x
    x = 203,168,429,420.74/655,778.42
  6. Step 6: Final answer
    x = 309,812.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.