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Finding the Fourth Proportional to 291,319.65, 402,014.94 and 162,257.73

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Solution

The fourth proportional to 291,319.65, 402,014.94 and 162,257.73 is: 223,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,319.65 : 402,014.94 = 162,257.73 : x
  2. Step 2: Convert to fraction form
    291,319.65/402,014.94 = 162,257.73/x
  3. Step 3: Cross multiply
    291,319.65x = 402,014.94 × 162,257.73
  4. Step 4: Simplify right side
    291,319.65x = 65,230,031,590.49
  5. Step 5: Solve for x
    x = 65,230,031,590.49/291,319.65
  6. Step 6: Final answer
    x = 223,912.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.