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Finding the Fourth Proportional to 208,991.80, 313,487.70 and 146,006.20

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Solution

The fourth proportional to 208,991.80, 313,487.70 and 146,006.20 is: 219,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,991.80 : 313,487.70 = 146,006.20 : x
  2. Step 2: Convert to fraction form
    208,991.80/313,487.70 = 146,006.20/x
  3. Step 3: Cross multiply
    208,991.80x = 313,487.70 × 146,006.20
  4. Step 4: Simplify right side
    208,991.80x = 45,771,147,823.74
  5. Step 5: Solve for x
    x = 45,771,147,823.74/208,991.80
  6. Step 6: Final answer
    x = 219,009.30

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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.