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Finding the Fourth Proportional to 219,024.60, 328,536.90 and 206,777.40

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Solution

The fourth proportional to 219,024.60, 328,536.90 and 206,777.40 is: 310,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,024.60 : 328,536.90 = 206,777.40 : x
  2. Step 2: Convert to fraction form
    219,024.60/328,536.90 = 206,777.40/x
  3. Step 3: Cross multiply
    219,024.60x = 328,536.90 × 206,777.40
  4. Step 4: Simplify right side
    219,024.60x = 67,934,005,986.06
  5. Step 5: Solve for x
    x = 67,934,005,986.06/219,024.60
  6. Step 6: Final answer
    x = 310,166.10

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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.