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Finding the Fourth Proportional to 261,029.90, 392,380.05 and 242,540.30

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Solution

The fourth proportional to 261,029.90, 392,380.05 and 242,540.30 is: 364,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,029.90 : 392,380.05 = 242,540.30 : x
  2. Step 2: Convert to fraction form
    261,029.90/392,380.05 = 242,540.30/x
  3. Step 3: Cross multiply
    261,029.90x = 392,380.05 × 242,540.30
  4. Step 4: Simplify right side
    261,029.90x = 95,167,975,041.02
  5. Step 5: Solve for x
    x = 95,167,975,041.02/261,029.90
  6. Step 6: Final answer
    x = 364,586.49

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1.5x scale

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.