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Finding the Fourth Proportional to 209,742.40, 313,922.40 and 162,740.80

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Solution

The fourth proportional to 209,742.40, 313,922.40 and 162,740.80 is: 243,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,742.40 : 313,922.40 = 162,740.80 : x
  2. Step 2: Convert to fraction form
    209,742.40/313,922.40 = 162,740.80/x
  3. Step 3: Cross multiply
    209,742.40x = 313,922.40 × 162,740.80
  4. Step 4: Simplify right side
    209,742.40x = 51,087,982,513.92
  5. Step 5: Solve for x
    x = 51,087,982,513.92/209,742.40
  6. Step 6: Final answer
    x = 243,574.89

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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.