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Finding the Fourth Proportional to 460,980, 691,742.16 and 194,723.28

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Solution

The fourth proportional to 460,980, 691,742.16 and 194,723.28 is: 292,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,980 : 691,742.16 = 194,723.28 : x
  2. Step 2: Convert to fraction form
    460,980/691,742.16 = 194,723.28/x
  3. Step 3: Cross multiply
    460,980x = 691,742.16 × 194,723.28
  4. Step 4: Simplify right side
    460,980x = 134,698,302,309.49
  5. Step 5: Solve for x
    x = 134,698,302,309.49/460,980
  6. Step 6: Final answer
    x = 292,199.88

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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.