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Finding the Fourth Proportional to 311,732.02, 430,190.08 and 168,492.06

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Solution

The fourth proportional to 311,732.02, 430,190.08 and 168,492.06 is: 232,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,732.02 : 430,190.08 = 168,492.06 : x
  2. Step 2: Convert to fraction form
    311,732.02/430,190.08 = 168,492.06/x
  3. Step 3: Cross multiply
    311,732.02x = 430,190.08 × 168,492.06
  4. Step 4: Simplify right side
    311,732.02x = 72,483,612,770.76
  5. Step 5: Solve for x
    x = 72,483,612,770.76/311,732.02
  6. Step 6: Final answer
    x = 232,518.98

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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.