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Finding the Fourth Proportional to 209,409.80, 313,346.70 and 154,113.80

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Solution

The fourth proportional to 209,409.80, 313,346.70 and 154,113.80 is: 230,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,409.80 : 313,346.70 = 154,113.80 : x
  2. Step 2: Convert to fraction form
    209,409.80/313,346.70 = 154,113.80/x
  3. Step 3: Cross multiply
    209,409.80x = 313,346.70 × 154,113.80
  4. Step 4: Simplify right side
    209,409.80x = 48,291,050,654.46
  5. Step 5: Solve for x
    x = 48,291,050,654.46/209,409.80
  6. Step 6: Final answer
    x = 230,605.50

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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.