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Finding the Fourth Proportional to 311,909.50, 430,435.11 and 168,669.55

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Solution

The fourth proportional to 311,909.50, 430,435.11 and 168,669.55 is: 232,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,909.50 : 430,435.11 = 168,669.55 : x
  2. Step 2: Convert to fraction form
    311,909.50/430,435.11 = 168,669.55/x
  3. Step 3: Cross multiply
    311,909.50x = 430,435.11 × 168,669.55
  4. Step 4: Simplify right side
    311,909.50x = 72,601,296,307.90
  5. Step 5: Solve for x
    x = 72,601,296,307.90/311,909.50
  6. Step 6: Final answer
    x = 232,763.98

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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.