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Finding the Fourth Proportional to 261,818.90, 361,523.14 and 213,428.42

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Solution

The fourth proportional to 261,818.90, 361,523.14 and 213,428.42 is: 294,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,818.90 : 361,523.14 = 213,428.42 : x
  2. Step 2: Convert to fraction form
    261,818.90/361,523.14 = 213,428.42/x
  3. Step 3: Cross multiply
    261,818.90x = 361,523.14 × 213,428.42
  4. Step 4: Simplify right side
    261,818.90x = 77,159,312,563.64
  5. Step 5: Solve for x
    x = 77,159,312,563.64/261,818.90
  6. Step 6: Final answer
    x = 294,704.90

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1.5x scale

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.