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Finding the Fourth Proportional to 309,688.40, 465,007.80 and 169,720.40

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Solution

The fourth proportional to 309,688.40, 465,007.80 and 169,720.40 is: 254,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,688.40 : 465,007.80 = 169,720.40 : x
  2. Step 2: Convert to fraction form
    309,688.40/465,007.80 = 169,720.40/x
  3. Step 3: Cross multiply
    309,688.40x = 465,007.80 × 169,720.40
  4. Step 4: Simplify right side
    309,688.40x = 78,921,309,819.12
  5. Step 5: Solve for x
    x = 78,921,309,819.12/309,688.40
  6. Step 6: Final answer
    x = 254,841.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.