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Finding the Fourth Proportional to 311,434.46, 429,779.55 and 168,194.53

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Solution

The fourth proportional to 311,434.46, 429,779.55 and 168,194.53 is: 232,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,434.46 : 429,779.55 = 168,194.53 : x
  2. Step 2: Convert to fraction form
    311,434.46/429,779.55 = 168,194.53/x
  3. Step 3: Cross multiply
    311,434.46x = 429,779.55 × 168,194.53
  4. Step 4: Simplify right side
    311,434.46x = 72,286,569,415.86
  5. Step 5: Solve for x
    x = 72,286,569,415.86/311,434.46
  6. Step 6: Final answer
    x = 232,108.45

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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.