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Finding the Fourth Proportional to 311,693.59, 430,139.12 and 168,453.30

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Solution

The fourth proportional to 311,693.59, 430,139.12 and 168,453.30 is: 232,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,693.59 : 430,139.12 = 168,453.30 : x
  2. Step 2: Convert to fraction form
    311,693.59/430,139.12 = 168,453.30/x
  3. Step 3: Cross multiply
    311,693.59x = 430,139.12 × 168,453.30
  4. Step 4: Simplify right side
    311,693.59x = 72,458,354,223.10
  5. Step 5: Solve for x
    x = 72,458,354,223.10/311,693.59
  6. Step 6: Final answer
    x = 232,466.62

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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.