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Finding the Fourth Proportional to 311,430.42, 429,774.05 and 168,190.50

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Solution

The fourth proportional to 311,430.42, 429,774.05 and 168,190.50 is: 232,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,430.42 : 429,774.05 = 168,190.50 : x
  2. Step 2: Convert to fraction form
    311,430.42/429,774.05 = 168,190.50/x
  3. Step 3: Cross multiply
    311,430.42x = 429,774.05 × 168,190.50
  4. Step 4: Simplify right side
    311,430.42x = 72,283,913,179.91
  5. Step 5: Solve for x
    x = 72,283,913,179.91/311,430.42
  6. Step 6: Final answer
    x = 232,102.93

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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.