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Finding the Fourth Proportional to 482,523.88, 665,909.22 and 312,903.40

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Solution

The fourth proportional to 482,523.88, 665,909.22 and 312,903.40 is: 431,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,523.88 : 665,909.22 = 312,903.40 : x
  2. Step 2: Convert to fraction form
    482,523.88/665,909.22 = 312,903.40/x
  3. Step 3: Cross multiply
    482,523.88x = 665,909.22 × 312,903.40
  4. Step 4: Simplify right side
    482,523.88x = 208,365,259,029.35
  5. Step 5: Solve for x
    x = 208,365,259,029.35/482,523.88
  6. Step 6: Final answer
    x = 431,823.72

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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.