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Finding the Fourth Proportional to 297,743.40, 446,744.70 and 149,999.40

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Solution

The fourth proportional to 297,743.40, 446,744.70 and 149,999.40 is: 225,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,743.40 : 446,744.70 = 149,999.40 : x
  2. Step 2: Convert to fraction form
    297,743.40/446,744.70 = 149,999.40/x
  3. Step 3: Cross multiply
    297,743.40x = 446,744.70 × 149,999.40
  4. Step 4: Simplify right side
    297,743.40x = 67,011,436,953.18
  5. Step 5: Solve for x
    x = 67,011,436,953.18/297,743.40
  6. Step 6: Final answer
    x = 225,064.39

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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.