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Finding the Fourth Proportional to 311,841, 430,341.78 and 174,025.80

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Solution

The fourth proportional to 311,841, 430,341.78 and 174,025.80 is: 240,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,841 : 430,341.78 = 174,025.80 : x
  2. Step 2: Convert to fraction form
    311,841/430,341.78 = 174,025.80/x
  3. Step 3: Cross multiply
    311,841x = 430,341.78 × 174,025.80
  4. Step 4: Simplify right side
    311,841x = 74,890,572,537.92
  5. Step 5: Solve for x
    x = 74,890,572,537.92/311,841
  6. Step 6: Final answer
    x = 240,156.27

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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.