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Finding the Fourth Proportional to 311,693.88, 429,938.10 and 216,165.72

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Solution

The fourth proportional to 311,693.88, 429,938.10 and 216,165.72 is: 298,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,693.88 : 429,938.10 = 216,165.72 : x
  2. Step 2: Convert to fraction form
    311,693.88/429,938.10 = 216,165.72/x
  3. Step 3: Cross multiply
    311,693.88x = 429,938.10 × 216,165.72
  4. Step 4: Simplify right side
    311,693.88x = 92,937,878,941.93
  5. Step 5: Solve for x
    x = 92,937,878,941.93/311,693.88
  6. Step 6: Final answer
    x = 298,170.37

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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.