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Finding the Fourth Proportional to 522,384.90, 783,836.55 and 206,852.10

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Solution

The fourth proportional to 522,384.90, 783,836.55 and 206,852.10 is: 310,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,384.90 : 783,836.55 = 206,852.10 : x
  2. Step 2: Convert to fraction form
    522,384.90/783,836.55 = 206,852.10/x
  3. Step 3: Cross multiply
    522,384.90x = 783,836.55 × 206,852.10
  4. Step 4: Simplify right side
    522,384.90x = 162,138,236,424.26
  5. Step 5: Solve for x
    x = 162,138,236,424.26/522,384.90
  6. Step 6: Final answer
    x = 310,380.79

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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.