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Finding the Fourth Proportional to 313,659.69, 470,489.01 and 89,022.29

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Solution

The fourth proportional to 313,659.69, 470,489.01 and 89,022.29 is: 133,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,659.69 : 470,489.01 = 89,022.29 : x
  2. Step 2: Convert to fraction form
    313,659.69/470,489.01 = 89,022.29/x
  3. Step 3: Cross multiply
    313,659.69x = 470,489.01 × 89,022.29
  4. Step 4: Simplify right side
    313,659.69x = 41,884,009,050.25
  5. Step 5: Solve for x
    x = 41,884,009,050.25/313,659.69
  6. Step 6: Final answer
    x = 133,533.29

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1.5x scale

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.